iv) 40, 36 and 1263. Find the greatest number of 6 digits exactly divi

1.	iv) 40, 36 and 1263. Find the greatest number of 6 digits exactly divisible by 24, 15 and 36.(v) 84, 90 and 120(Vi) 2ona and 13 m 20 cm broad. It is to
Answer» Prime factorization of,24=2³×315=3×536=2²×3² LCM=product of each prime factor of highest power LCM=2³×3²×5=360 Greatest six digit number=999999 Greatest six digit number exactly divisible by given numbers=999999-remainder when 999999 is divided by LCM of given numbers Greatest six digit number exactly divisible by given numbers=999999-279=999720 Hence greatest six digit number exactly divisible by 24 , 15 and 36 is 999720.

iv) 40, 36 and 1263. Find the greatest number of 6 digits exactly divisible by 24, 15 and 36.(v) 84, 90 and 120(Vi) 2ona and 13 m 20 cm broad. It is to

Answer»

Prime factorization of,24=2³×315=3×536=2²×3²

LCM=product of each prime factor of highest power

LCM=2³×3²×5=360

Greatest six digit number=999999

Greatest six digit number exactly divisible by given numbers=999999-remainder when 999999 is divided by LCM of given numbers

Greatest six digit number exactly divisible by given numbers=999999-279=999720

Hence greatest six digit number exactly divisible by 24 , 15 and 36 is 999720.