Least Common Multiple of 58/64, 556/36, 264/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/64, 556/36, 264/158 quickly i.e. 532092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/64, 556/36, 264/158 is 532092.

LCM(58/64, 556/36, 264/158) = 532092

LCM of 58/64, 556/36, 264/158

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 58/64,556/36,264/158

Given numbers are 58/64,556/36,264/158

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 58,556,264

Least Common Multiple of Numerators i.e. LCM of 58,556,264 is 1064184.

GCF of Denominators means GCF of 64,36,158 as per the given fractions.

GCF of 64,36,158 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,556,264

LCM of Fractions 58/64,556/36,264/158 is 532092

2 58, 556, 264
2 29, 278, 132
29, 139, 66

∴ So the LCM of the given numbers is 2 x 2 x 29 x 139 x 66 = 1064184

Least Common Multiple of 58,556,264 with GCF Formula

Least Common Multiple of 58,556,264 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 58,556,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,556,264) = 2

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

GCF(58,556,264) x common factors =2 x 4 = 8

LCM(58,556,264) = ( 58 × 556 × 264 ) / 8

LCM(58,556,264) = 8513472 / 8

LCM(58,556,264) = 1064184


Lets's calculate GCF of 64,36,158

2 64, 36, 158
32, 18, 79

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1064184/2

Therefore the LCM of Fractions 58/64,556/36,264/158 is 532092

Greatest Common Factor of 64,36,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,36,158 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 64,36,158 . The biggest common factor number is the GCF number.
So the greatest common factor 64,36,158 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 58/64, 556/36, 264/158

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 58/64, 556/36, 264/158?

Answer: LCM of Numerators as per given numbers 58/64, 556/36, 264/158 is

LCM of Numerators i.e. for 58,556,264 is 1064184

GCF of denominators i.e. for 64,36,158 is 2.

Thus, LCM of Fractions is 532092.Finally, LCM of Fractions for 58/64, 556/36, 264/158 is 532092.