Least Common Multiple of 761/489, 234/918, 653/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 761/489, 234/918, 653/807 quickly i.e. 38760774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 761/489, 234/918, 653/807 is 38760774.

LCM(761/489, 234/918, 653/807) = 38760774

LCM of 761/489, 234/918, 653/807

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 761/489,234/918,653/807

Given numbers are 761/489,234/918,653/807

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 761,234,653

Least Common Multiple of Numerators i.e. LCM of 761,234,653 is 116282322.

GCF of Denominators means GCF of 489,918,807 as per the given fractions.

GCF of 489,918,807 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 761,234,653

LCM of Fractions 761/489,234/918,653/807 is 38760774

Given numbers has no common factors except 1. So, there LCM is their product i.e 116282322

Least Common Multiple of 761,234,653 with GCF Formula

Least Common Multiple of 761,234,653 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 761,234,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,234,653) = 1

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

GCF(761,234,653) x common factors =1 x 1 = 1

LCM(761,234,653) = ( 761 × 234 × 653 ) / 1

LCM(761,234,653) = 116282322 / 1

LCM(761,234,653) = 116282322


Lets's calculate GCF of 489,918,807

3 489, 918, 807
163, 306, 269

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116282322/3

Therefore the LCM of Fractions 761/489,234/918,653/807 is 38760774

Greatest Common Factor of 489,918,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,918,807 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 489,918,807 . The biggest common factor number is the GCF number.
So the greatest common factor 489,918,807 is 3.


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 761/489, 234/918, 653/807

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 761/489, 234/918, 653/807?

Answer: LCM of Numerators as per given numbers 761/489, 234/918, 653/807 is

LCM of Numerators i.e. for 761,234,653 is 116282322

GCF of denominators i.e. for 489,918,807 is 3.

Thus, LCM of Fractions is 38760774.Finally, LCM of Fractions for 761/489, 234/918, 653/807 is 38760774.