Least Common Multiple of 376/34, 167/78, 750/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 376/34, 167/78, 750/989 quickly i.e. 23547000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 376/34, 167/78, 750/989 is 23547000.

LCM(376/34, 167/78, 750/989) = 23547000

LCM of 376/34, 167/78, 750/989

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 376/34,167/78,750/989

Given numbers are 376/34,167/78,750/989

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 376,167,750

Least Common Multiple of Numerators i.e. LCM of 376,167,750 is 23547000.

GCF of Denominators means GCF of 34,78,989 as per the given fractions.

GCF of 34,78,989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 376,167,750

LCM of Fractions 376/34,167/78,750/989 is 23547000

2 376, 167, 750
188, 167, 375

∴ So the LCM of the given numbers is 2 x 188 x 167 x 375 = 23547000

Least Common Multiple of 376,167,750 with GCF Formula

Least Common Multiple of 376,167,750 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 376,167,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,167,750) = 1

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

GCF(376,167,750) x common factors =1 x 2 = 2

LCM(376,167,750) = ( 376 × 167 × 750 ) / 2

LCM(376,167,750) = 47094000 / 2

LCM(376,167,750) = 23547000


Lets's calculate GCF of 34,78,989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23547000/1

Therefore the LCM of Fractions 376/34,167/78,750/989 is 23547000

Greatest Common Factor of 34,78,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,78,989 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 34,78,989 . The biggest common factor number is the GCF number.
So the greatest common factor 34,78,989 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 376/34, 167/78, 750/989

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 376/34, 167/78, 750/989?

Answer: LCM of Numerators as per given numbers 376/34, 167/78, 750/989 is

LCM of Numerators i.e. for 376,167,750 is 23547000

GCF of denominators i.e. for 34,78,989 is 1.

Thus, LCM of Fractions is 23547000.Finally, LCM of Fractions for 376/34, 167/78, 750/989 is 23547000.