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Determine the LCM of 23,49,815\frac{2}3, \frac{4}9, \frac{8}{15}32​,94​,158​​ and 1021\frac{10}{21}2110​​​
Question

Determine the LCM of 23,49,815\frac{2}3, \frac{4}9, \frac{8}{15}​ and 1021\frac{10}{21}​​

A.

203\frac{20}3​​

B.

320\frac{3}{20}​​

C.

340\frac{3}{40}​​

D.

403\frac{40}3​​

Correct option is D

GIVEN:
Fractions 23,49,815\frac{2}3, \frac{4}9, \frac{8}{15}​, 1021\frac{10}{21}
FORMULA USED:
LCM of fractions = LCM of numerator HCF of denominator\frac{\text{LCM of numerator}} {\text{ HCF of denominator}}​​
SOLUTION:
LCM of numerator 2, 4, 8, 10 = 2 × 2 × 2 × 5
LCM of numerator = 40
HCF of denominator 3, 9, 15, 21 = 3
LCM of fractions = LCM of numerator HCF of denominator\frac{\text{LCM of numerator}} {\text{ HCF of denominator}}

LCM of fractions = 403\frac{40} 3​​

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