Least Common Multiple of 76/263, 527/840, 767/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/263, 527/840, 767/338 quickly i.e. 30719884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/263, 527/840, 767/338 is 30719884.

LCM(76/263, 527/840, 767/338) = 30719884

LCM of 76/263, 527/840, 767/338

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 76/263,527/840,767/338

Given numbers are 76/263,527/840,767/338

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 76,527,767

Least Common Multiple of Numerators i.e. LCM of 76,527,767 is 30719884.

GCF of Denominators means GCF of 263,840,338 as per the given fractions.

GCF of 263,840,338 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,527,767

LCM of Fractions 76/263,527/840,767/338 is 30719884

Given numbers has no common factors except 1. So, there LCM is their product i.e 30719884

Least Common Multiple of 76,527,767 with GCF Formula

Least Common Multiple of 76,527,767 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 76,527,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,527,767) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(76,527,767) x common factors =1 x 1 = 1

LCM(76,527,767) = ( 76 × 527 × 767 ) / 1

LCM(76,527,767) = 30719884 / 1

LCM(76,527,767) = 30719884


Lets's calculate GCF of 263,840,338

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30719884/1

Therefore the LCM of Fractions 76/263,527/840,767/338 is 30719884

Greatest Common Factor of 263,840,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 263,840,338 By Matching Biggest Common Factor Method

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 338

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

1,2,13,26,169,338

Greatest Common Factor

We found the factors 263,840,338 . The biggest common factor number is the GCF number.
So the greatest common factor 263,840,338 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 76/263, 527/840, 767/338

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 76/263, 527/840, 767/338?

Answer: LCM of Numerators as per given numbers 76/263, 527/840, 767/338 is

LCM of Numerators i.e. for 76,527,767 is 30719884

GCF of denominators i.e. for 263,840,338 is 1.

Thus, LCM of Fractions is 30719884.Finally, LCM of Fractions for 76/263, 527/840, 767/338 is 30719884.