Least Common Multiple of 460, 414, 40

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

• Least Common Multiple of 460, 414, 40 by common division method
• Least Common Multiple of 460, 414, 40 with GCF Formula

∴ So the LCM of the given numbers is 2 x 2 x 5 x 23 x 1 x 9 x 2 = 8280

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 460,414,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,414,40) = 2

common factors(in case of two or more numbers have common factors) = 460

GCF(460,414,40) x common factors =2 x 460 = 920

LCM(460,414,40) = ( 460 × 414 × 40 ) / 920

LCM(460,414,40) = 7617600 / 920

LCM(460,414,40) = 8280

∴ Least Common Multiple of 460,414,40 is 8280

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

• LCM of 837, 959, 91
• LCM of 145, 174, 66
• LCM of 952, 551, 48
• LCM of 473, 161, 47
• LCM of 311, 713, 33

1. What is the LCM of 460, 414, 40?

Answer: LCM of 460, 414, 40 is 8280.

2. What are the Factors of 8280?

Answer: Factors of 8280 are . There are integers that are factors of 8280

3. How to Find the LCM of 460, 414, 40 ?

Least Common Multiple of 460, 414, 40.

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(460, 414, 40) = 2 x 2 x 2 x 3 x 3 x 5 x 23 = 8280.