Least Common Multiple of 464, 196, 58

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 464, 196, 58 i.e. 22736 smallest integer divisible by all numbers.

Least common multiple (LCM) of 464, 196, 58 is 22736.

LCM(464, 196, 58) = 22736

LCM of 464, 196, 58

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

LCM of:

Least Common Multiple of 464,196,58

Least Common Multiple (LCM) of 464,196,58 is 22736

2 464, 196, 58
2 232, 98, 29
29 116, 49, 29
4, 49, 1

∴ So the LCM of the given numbers is 2 x 2 x 29 x 4 x 49 x 1 = 22736

Least Common Multiple of 464,196,58 with GCF Formula

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

We need to calculate greatest common factor of 464,196,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,196,58) = 2

common factors(in case of two or more numbers have common factors) = 116

GCF(464,196,58) x common factors =2 x 116 = 232

LCM(464,196,58) = ( 464 × 196 × 58 ) / 232

LCM(464,196,58) = 5274752 / 232

LCM(464,196,58) = 22736

∴ Least Common Multiple of 464,196,58 is 22736

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 464, 196, 58

1. What is the LCM of 464, 196, 58?

Answer: LCM of 464, 196, 58 is 22736.

2. What are the Factors of 22736?

Answer: Factors of 22736 are . There are integers that are factors of 22736

3. How to Find the LCM of 464, 196, 58 ?

Least Common Multiple of 464, 196, 58.

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(464, 196, 58) = 2 x 2 x 2 x 2 x 7 x 7 x 29 = 22736.