Least Common Multiple of 404, 748, 978

Q: How to Find the LCM of 404, 748, 978 ?

Least Common Multiple of 404, 748, 978 = 36942972 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(404, 748, 978) = 2 x 2 x 3 x 11 x 17 x 101 x 163 = 36942972.

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 404, 748, 978 i.e. 36942972 smallest integer divisible by all numbers.

Least common multiple (LCM) of 404, 748, 978 is 36942972.

LCM(404, 748, 978) = 36942972

LCM of 404, 748, 978

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

Least Common Multiple of 404, 748, 978 by common division method
Least Common Multiple of 404, 748, 978 with GCF Formula

Least Common Multiple of 404,748,978

Least Common Multiple (LCM) of 404,748,978 is 36942972

2	404, 748, 978
2	202, 374, 489
	101, 187, 489

∴ So the LCM of the given numbers is 2 x 2 x 101 x 187 x 489 = 36942972

Least Common Multiple of 404,748,978 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 404,748,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,748,978) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(404,748,978) x common factors =2 x 4 = 8

LCM(404,748,978) = ( 404 × 748 × 978 ) / 8

LCM(404,748,978) = 295543776 / 8

LCM(404,748,978) = 36942972

∴ Least Common Multiple of 404,748,978 is 36942972

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 404, 748, 978

1. What is the LCM of 404, 748, 978?

Answer: LCM of 404, 748, 978 is 36942972.

2. What are the Factors of 36942972?

Answer: Factors of 36942972 are . There are integers that are factors of 36942972

3. How to Find the LCM of 404, 748, 978 ?

Least Common Multiple of 404, 748, 978.

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(404, 748, 978) = 2 x 2 x 3 x 11 x 17 x 101 x 163 = 36942972.