Least Common Multiple of 769/917, 382/253, 820/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 769/917, 382/253, 820/234 quickly i.e. 120440780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 769/917, 382/253, 820/234 is 120440780.

LCM(769/917, 382/253, 820/234) = 120440780

LCM of 769/917, 382/253, 820/234

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 769/917,382/253,820/234

Given numbers are 769/917,382/253,820/234

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 769,382,820

Least Common Multiple of Numerators i.e. LCM of 769,382,820 is 120440780.

GCF of Denominators means GCF of 917,253,234 as per the given fractions.

GCF of 917,253,234 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 769,382,820

LCM of Fractions 769/917,382/253,820/234 is 120440780

2 769, 382, 820
769, 191, 410

∴ So the LCM of the given numbers is 2 x 769 x 191 x 410 = 120440780

Least Common Multiple of 769,382,820 with GCF Formula

Least Common Multiple of 769,382,820 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 769,382,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,382,820) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(769,382,820) x common factors =1 x 2 = 2

LCM(769,382,820) = ( 769 × 382 × 820 ) / 2

LCM(769,382,820) = 240881560 / 2

LCM(769,382,820) = 120440780


Lets's calculate GCF of 917,253,234

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120440780/1

Therefore the LCM of Fractions 769/917,382/253,820/234 is 120440780

Greatest Common Factor of 917,253,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,253,234 By Matching Biggest Common Factor Method

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 917,253,234 . The biggest common factor number is the GCF number.
So the greatest common factor 917,253,234 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 769/917, 382/253, 820/234

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 769/917, 382/253, 820/234?

Answer: LCM of Numerators as per given numbers 769/917, 382/253, 820/234 is

LCM of Numerators i.e. for 769,382,820 is 120440780

GCF of denominators i.e. for 917,253,234 is 1.

Thus, LCM of Fractions is 120440780.Finally, LCM of Fractions for 769/917, 382/253, 820/234 is 120440780.