Least Common Multiple of 976/15, 375/3651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 976/15, 375/3651 quickly i.e. 122000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 976/15, 375/3651 is 122000.

LCM(976/15, 375/3651) = 122000

LCM of 976/15, 375/3651

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 976/15,375/3651

Given numbers are 976/15,375/3651

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 976,375

Least Common Multiple of Numerators i.e. LCM of 976,375 is 366000.

GCF of Denominators means GCF of 15,3651 as per the given fractions.

GCF of 15,3651 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 976,375

LCM of Fractions 976/15,375/3651 is 122000

Given numbers has no common factors except 1. So, there LCM is their product i.e 366000

Least Common Multiple of 976,375 with GCF Formula

Least Common Multiple of 976,375 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 976,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,375) = 1

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

GCF(976,375) x common factors =1 x 1 = 1

LCM(976,375) = ( 976 × 375 ) / 1

LCM(976,375) = 366000 / 1

LCM(976,375) = 366000


Lets's calculate GCF of 15,3651

3 15, 3651
5, 1217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 366000/3

Therefore the LCM of Fractions 976/15,375/3651 is 122000

Greatest Common Factor of 15,3651 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,3651 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 3651

List of positive integer factors of 3651 that divides 3651 without a remainder.

1,3,1217,3651

Greatest Common Factor

We found the factors 15,3651 . The biggest common factor number is the GCF number.
So the greatest common factor 15,3651 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 976/15, 375/3651

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 976/15, 375/3651?

Answer: LCM of Numerators as per given numbers 976/15, 375/3651 is

LCM of Numerators i.e. for 976,375 is 366000

GCF of denominators i.e. for 15,3651 is 3.

Thus, LCM of Fractions is 122000.Finally, LCM of Fractions for 976/15, 375/3651 is 122000.