Least Common Multiple of 526/59, 256/58, 608/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 526/59, 256/58, 608/119 quickly i.e. 1279232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 526/59, 256/58, 608/119 is 1279232.

LCM(526/59, 256/58, 608/119) = 1279232

LCM of 526/59, 256/58, 608/119

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 526/59,256/58,608/119

Given numbers are 526/59,256/58,608/119

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 526,256,608

Least Common Multiple of Numerators i.e. LCM of 526,256,608 is 1279232.

GCF of Denominators means GCF of 59,58,119 as per the given fractions.

GCF of 59,58,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 526,256,608

LCM of Fractions 526/59,256/58,608/119 is 1279232

2 526, 256, 608
2 263, 128, 304
2 263, 64, 152
2 263, 32, 76
2 263, 16, 38
263, 8, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 263 x 8 x 19 = 1279232

Least Common Multiple of 526,256,608 with GCF Formula

Least Common Multiple of 526,256,608 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 526,256,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,256,608) = 2

common factors(in case of two or more numbers have common factors) = 32

GCF(526,256,608) x common factors =2 x 32 = 64

LCM(526,256,608) = ( 526 × 256 × 608 ) / 64

LCM(526,256,608) = 81870848 / 64

LCM(526,256,608) = 1279232


Lets's calculate GCF of 59,58,119

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1279232/1

Therefore the LCM of Fractions 526/59,256/58,608/119 is 1279232

Greatest Common Factor of 59,58,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,58,119 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 59,58,119 . The biggest common factor number is the GCF number.
So the greatest common factor 59,58,119 is 1.


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 526/59, 256/58, 608/119

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 526/59, 256/58, 608/119?

Answer: LCM of Numerators as per given numbers 526/59, 256/58, 608/119 is

LCM of Numerators i.e. for 526,256,608 is 1279232

GCF of denominators i.e. for 59,58,119 is 1.

Thus, LCM of Fractions is 1279232.Finally, LCM of Fractions for 526/59, 256/58, 608/119 is 1279232.