Least Common Multiple of 120/376, 244/850, 999/379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 120/376, 244/850, 999/379 quickly i.e. 2437560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 120/376, 244/850, 999/379 is 2437560.

LCM(120/376, 244/850, 999/379) = 2437560

LCM of 120/376, 244/850, 999/379

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 120/376,244/850,999/379

Given numbers are 120/376,244/850,999/379

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 120,244,999

Least Common Multiple of Numerators i.e. LCM of 120,244,999 is 2437560.

GCF of Denominators means GCF of 376,850,379 as per the given fractions.

GCF of 376,850,379 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 120,244,999

LCM of Fractions 120/376,244/850,999/379 is 2437560

2 120, 244, 999
2 60, 122, 999
3 30, 61, 999
10, 61, 333

∴ So the LCM of the given numbers is 2 x 2 x 3 x 10 x 61 x 333 = 2437560

Least Common Multiple of 120,244,999 with GCF Formula

Least Common Multiple of 120,244,999 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 120,244,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,244,999) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(120,244,999) x common factors =1 x 12 = 12

LCM(120,244,999) = ( 120 × 244 × 999 ) / 12

LCM(120,244,999) = 29250720 / 12

LCM(120,244,999) = 2437560


Lets's calculate GCF of 376,850,379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2437560/1

Therefore the LCM of Fractions 120/376,244/850,999/379 is 2437560

Greatest Common Factor of 376,850,379 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,850,379 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Greatest Common Factor

We found the factors 376,850,379 . The biggest common factor number is the GCF number.
So the greatest common factor 376,850,379 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 120/376, 244/850, 999/379

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 120/376, 244/850, 999/379?

Answer: LCM of Numerators as per given numbers 120/376, 244/850, 999/379 is

LCM of Numerators i.e. for 120,244,999 is 2437560

GCF of denominators i.e. for 376,850,379 is 1.

Thus, LCM of Fractions is 2437560.Finally, LCM of Fractions for 120/376, 244/850, 999/379 is 2437560.