What Is The Least Multiple Of 7 Which Leaves A Remainder Of 4 When Di

1.	What Is The Least Multiple Of 7 Which Leaves A Remainder Of 4 When Divided By 6, 9, 15 And 18 ?
Answer» LCM of 6, 9, 15 and 18 = 90 REQUIRED Number = (90k + 4) which is a multiple of 7 PUT K = 1. We get number as (90 × 1) + 4 = 94. But this is not a multiple of 7 Put k = 2. We get number as (90 × 2) + 4 = 184. But this is not a multiple of 7 Put k = 3. We get number as (90 × 3) + 4 = 274. But this is not a multiple of 7 Put k = 4. We get number as (90 × 4) + 4 = 364. This is a multiple of 7 Hence 364 is the answer. LCM of 6, 9, 15 and 18 = 90 Required Number = (90k + 4) which is a multiple of 7 Put k = 1. We get number as (90 × 1) + 4 = 94. But this is not a multiple of 7 Put k = 2. We get number as (90 × 2) + 4 = 184. But this is not a multiple of 7 Put k = 3. We get number as (90 × 3) + 4 = 274. But this is not a multiple of 7 Put k = 4. We get number as (90 × 4) + 4 = 364. This is a multiple of 7 Hence 364 is the answer.

What Is The Least Multiple Of 7 Which Leaves A Remainder Of 4 When Divided By 6, 9, 15 And 18 ?

Answer»

LCM of 6, 9, 15 and 18 = 90

REQUIRED Number = (90k + 4) which is a multiple of 7

PUT K = 1. We get number as (90 × 1) + 4 = 94. But this is not a multiple of 7

Put k = 2. We get number as (90 × 2) + 4 = 184. But this is not a multiple of 7

Put k = 3. We get number as (90 × 3) + 4 = 274. But this is not a multiple of 7

Put k = 4. We get number as (90 × 4) + 4 = 364. This is a multiple of 7

Hence 364 is the answer.

LCM of 6, 9, 15 and 18 = 90

Required Number = (90k + 4) which is a multiple of 7

Put k = 1. We get number as (90 × 1) + 4 = 94. But this is not a multiple of 7

Put k = 2. We get number as (90 × 2) + 4 = 184. But this is not a multiple of 7

Put k = 3. We get number as (90 × 3) + 4 = 274. But this is not a multiple of 7

Put k = 4. We get number as (90 × 4) + 4 = 364. This is a multiple of 7

Hence 364 is the answer.

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