Least Common Multiple of 760/258, 9978/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 760/258, 9978/375 quickly i.e. 1263880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 760/258, 9978/375 is 1263880.

LCM(760/258, 9978/375) = 1263880

LCM of 760/258, 9978/375

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 760/258,9978/375

Given numbers are 760/258,9978/375

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 760,9978

Least Common Multiple of Numerators i.e. LCM of 760,9978 is 3791640.

GCF of Denominators means GCF of 258,375 as per the given fractions.

GCF of 258,375 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 760,9978

LCM of Fractions 760/258,9978/375 is 1263880

2 760, 9978
380, 4989

∴ So the LCM of the given numbers is 2 x 380 x 4989 = 3791640

Least Common Multiple of 760,9978 with GCF Formula

Least Common Multiple of 760,9978 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 760,9978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,9978) = 2

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

GCF(760,9978) x common factors =2 x 1 = 2

LCM(760,9978) = ( 760 × 9978 ) / 2

LCM(760,9978) = 7583280 / 2

LCM(760,9978) = 3791640


Lets's calculate GCF of 258,375

3 258, 375
86, 125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3791640/3

Therefore the LCM of Fractions 760/258,9978/375 is 1263880

Greatest Common Factor of 258,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,375 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 258,375 . The biggest common factor number is the GCF number.
So the greatest common factor 258,375 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 760/258, 9978/375

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 760/258, 9978/375?

Answer: LCM of Numerators as per given numbers 760/258, 9978/375 is

LCM of Numerators i.e. for 760,9978 is 3791640

GCF of denominators i.e. for 258,375 is 3.

Thus, LCM of Fractions is 1263880.Finally, LCM of Fractions for 760/258, 9978/375 is 1263880.