Least Common Multiple of 407, 714, 616

Q: How to Find the LCM of 407, 714, 616 ?

Least Common Multiple of 407, 714, 616 = 1162392 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(407, 714, 616) = 2 x 2 x 2 x 3 x 7 x 11 x 17 x 37 = 1162392.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 407, 714, 616 i.e. 1162392 smallest integer divisible by all numbers.

Least common multiple (LCM) of 407, 714, 616 is 1162392.

LCM(407, 714, 616) = 1162392

LCM of 407, 714, 616

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

Least Common Multiple of 407, 714, 616 by common division method
Least Common Multiple of 407, 714, 616 with GCF Formula

Least Common Multiple of 407,714,616

Least Common Multiple (LCM) of 407,714,616 is 1162392

2	407, 714, 616
7	407, 357, 308
11	407, 51, 44
	37, 51, 4

∴ So the LCM of the given numbers is 2 x 7 x 11 x 37 x 51 x 4 = 1162392

Least Common Multiple of 407,714,616 with GCF Formula

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 407,714,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,714,616) = 1

common factors(in case of two or more numbers have common factors) = 154

GCF(407,714,616) x common factors =1 x 154 = 154

LCM(407,714,616) = ( 407 × 714 × 616 ) / 154

LCM(407,714,616) = 179008368 / 154

LCM(407,714,616) = 1162392

∴ Least Common Multiple of 407,714,616 is 1162392

LCM of two or more Numbers Calculation Examples

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

Frequently Asked Questions on LCM of 407, 714, 616

1. What is the LCM of 407, 714, 616?

Answer: LCM of 407, 714, 616 is 1162392.

2. What are the Factors of 1162392?

Answer: Factors of 1162392 are . There are integers that are factors of 1162392

3. How to Find the LCM of 407, 714, 616 ?

Least Common Multiple of 407, 714, 616.

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(407, 714, 616) = 2 x 2 x 2 x 3 x 7 x 11 x 17 x 37 = 1162392.