Which is the smallest number that is a perfect square which can be div

1.	Which is the smallest number that is a perfect square which can be divided by 14, 24, 35and 77?
Answer» The smallest number DIVISIBLE by 14,24,35 and 77 is their L.C.M ., which is equal to 9240. Factorising 9240 into PAIRS of equal FACTORS: 9240 = 2³ × 3¹ × 5¹ × 7¹ × 11¹ /* Grouping them into pairs of equal Factors. 9240 = (2×2)×2×3×5×7×11 The factors 2,3,5,7,11 are not paired . To make 9240 into a perfect square , we have to multiply it by 2×3×5×7×11., i.e., by 2310. The perfect square is 9240 × 2310, which is equal to 21344400 = (4620)². •••♪

Which is the smallest number that is a perfect square which can be divided by 14, 24, 35and 77?

Answer»

The smallest number DIVISIBLE by 14,24,35 and 77 is their L.C.M ., which is equal to 9240.

Factorising 9240 into PAIRS of equal FACTORS:

9240 = 2³ × 3¹ × 5¹ × 7¹ × 11¹

/* Grouping them into pairs of equal Factors.

9240 = (2×2)×2×3×5×7×11

The factors 2,3,5,7,11 are not paired .

To make 9240 into a perfect square , we have to multiply it by 2×3×5×7×11., i.e., by 2310.

The perfect square is 9240 × 2310, which is equal to 21344400 = (4620)².

•••♪