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What is the relation between the LCM and HCF of 420, 490 and 630?1). LCM = 114 × HCF2). LCM = 126 × HCF3). LCM = 132 × HCF4). LCM = 148 × HCF |
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Answer» We can WRITE, ⇒ 420 = 22 × 3 × 5 × 7 ⇒ 490 = 2 × 5 × 72 ⇒ 630 = 2 × 32 × 5 × 7 ? HCF is the product of the common factors and LCM is the product of the highest powers of all the factors ⇒ HCF of 420, 490 & 630 = 2 × 5 × 7 = 70 ⇒ LCM of 420, 490 & 630 = 22 × 32 × 5 × 72 = 8820 ⇒ LCM/HCF = 8820/70 = 126 ∴ LCM = 126 × HCF |
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