Least Common Multiple of 21, 29, 46, 414

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

• Least Common Multiple of 21, 29, 46, 414 by common division method
• Least Common Multiple of 21, 29, 46, 414 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 23 x 7 x 29 x 1 x 3 = 84042

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 21,29,46,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,29,46,414) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(21,29,46,414) x common factors =1 x 138 = 138

LCM(21,29,46,414) = ( 21 × 29 × 46 × 414 ) / 138

LCM(21,29,46,414) = 11597796 / 138

LCM(21,29,46,414) = 84042

∴ Least Common Multiple of 21,29,46,414 is 84042

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 25, 28, 68, 640
• LCM of 93, 45, 54, 520
• LCM of 31, 55, 42, 354
• LCM of 90, 50, 73, 716
• LCM of 99, 23, 15, 137

1. What is the LCM of 21, 29, 46, 414?

Answer: LCM of 21, 29, 46, 414 is 84042.

2. What are the Factors of 84042?

Answer: Factors of 84042 are . There are integers that are factors of 84042

3. How to Find the LCM of 21, 29, 46, 414 ?

Least Common Multiple of 21, 29, 46, 414.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(21, 29, 46, 414) = 2 x 3 x 3 x 7 x 23 x 29 = 84042.