Least Common Multiple of 495/239, 520/656, 156/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 495/239, 520/656, 156/526 quickly i.e. 51480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 495/239, 520/656, 156/526 is 51480.

LCM(495/239, 520/656, 156/526) = 51480

LCM of 495/239, 520/656, 156/526

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 495/239,520/656,156/526

Given numbers are 495/239,520/656,156/526

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 495,520,156

Least Common Multiple of Numerators i.e. LCM of 495,520,156 is 51480.

GCF of Denominators means GCF of 239,656,526 as per the given fractions.

GCF of 239,656,526 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 495,520,156

LCM of Fractions 495/239,520/656,156/526 is 51480

2 495, 520, 156
2 495, 260, 78
3 495, 130, 39
5 165, 130, 13
13 33, 26, 13
33, 2, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 13 x 33 x 2 x 1 = 51480

Least Common Multiple of 495,520,156 with GCF Formula

Least Common Multiple of 495,520,156 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 495,520,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,520,156) = 1

common factors(in case of two or more numbers have common factors) = 780

GCF(495,520,156) x common factors =1 x 780 = 780

LCM(495,520,156) = ( 495 × 520 × 156 ) / 780

LCM(495,520,156) = 40154400 / 780

LCM(495,520,156) = 51480


Lets's calculate GCF of 239,656,526

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51480/1

Therefore the LCM of Fractions 495/239,520/656,156/526 is 51480

Greatest Common Factor of 239,656,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 239,656,526 By Matching Biggest Common Factor Method

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

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 239,656,526 . The biggest common factor number is the GCF number.
So the greatest common factor 239,656,526 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 495/239, 520/656, 156/526

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 495/239, 520/656, 156/526?

Answer: LCM of Numerators as per given numbers 495/239, 520/656, 156/526 is

LCM of Numerators i.e. for 495,520,156 is 51480

GCF of denominators i.e. for 239,656,526 is 1.

Thus, LCM of Fractions is 51480.Finally, LCM of Fractions for 495/239, 520/656, 156/526 is 51480.