Least Common Multiple of 490, 414, 456

Q: How to Find the LCM of 490, 414, 456 ?

Least Common Multiple of 490, 414, 456 = 7708680 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(490, 414, 456) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 x 19 x 23 = 7708680.

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 490, 414, 456 i.e. 7708680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 490, 414, 456 is 7708680.

LCM(490, 414, 456) = 7708680

LCM of 490, 414, 456

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

Least Common Multiple of 490, 414, 456 by common division method
Least Common Multiple of 490, 414, 456 with GCF Formula

Least Common Multiple of 490,414,456

Least Common Multiple (LCM) of 490,414,456 is 7708680

2	490, 414, 456
3	245, 207, 228
	245, 69, 76

∴ So the LCM of the given numbers is 2 x 3 x 245 x 69 x 76 = 7708680

Least Common Multiple of 490,414,456 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 490,414,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,414,456) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(490,414,456) x common factors =2 x 6 = 12

LCM(490,414,456) = ( 490 × 414 × 456 ) / 12

LCM(490,414,456) = 92504160 / 12

LCM(490,414,456) = 7708680

∴ Least Common Multiple of 490,414,456 is 7708680

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 490, 414, 456

1. What is the LCM of 490, 414, 456?

Answer: LCM of 490, 414, 456 is 7708680.

2. What are the Factors of 7708680?

Answer: Factors of 7708680 are . There are integers that are factors of 7708680

3. How to Find the LCM of 490, 414, 456 ?

Least Common Multiple of 490, 414, 456.

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(490, 414, 456) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 x 19 x 23 = 7708680.