Least Common Multiple of 55/338, 572/124, 460/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/338, 572/124, 460/526 quickly i.e. 32890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/338, 572/124, 460/526 is 32890.

LCM(55/338, 572/124, 460/526) = 32890

LCM of 55/338, 572/124, 460/526

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 55/338,572/124,460/526

Given numbers are 55/338,572/124,460/526

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 55,572,460

Least Common Multiple of Numerators i.e. LCM of 55,572,460 is 65780.

GCF of Denominators means GCF of 338,124,526 as per the given fractions.

GCF of 338,124,526 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,572,460

LCM of Fractions 55/338,572/124,460/526 is 32890

2 55, 572, 460
2 55, 286, 230
5 55, 143, 115
11 11, 143, 23
1, 13, 23

∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 1 x 13 x 23 = 65780

Least Common Multiple of 55,572,460 with GCF Formula

Least Common Multiple of 55,572,460 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 55,572,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,572,460) = 1

common factors(in case of two or more numbers have common factors) = 220

GCF(55,572,460) x common factors =1 x 220 = 220

LCM(55,572,460) = ( 55 × 572 × 460 ) / 220

LCM(55,572,460) = 14471600 / 220

LCM(55,572,460) = 65780


Lets's calculate GCF of 338,124,526

2 338, 124, 526
169, 62, 263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65780/2

Therefore the LCM of Fractions 55/338,572/124,460/526 is 32890

Greatest Common Factor of 338,124,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,124,526 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 338,124,526 . The biggest common factor number is the GCF number.
So the greatest common factor 338,124,526 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 55/338, 572/124, 460/526

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 55/338, 572/124, 460/526?

Answer: LCM of Numerators as per given numbers 55/338, 572/124, 460/526 is

LCM of Numerators i.e. for 55,572,460 is 65780

GCF of denominators i.e. for 338,124,526 is 2.

Thus, LCM of Fractions is 32890.Finally, LCM of Fractions for 55/338, 572/124, 460/526 is 32890.