Least Common Multiple of 36/154, 932/237, 971/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/154, 932/237, 971/865 quickly i.e. 8144748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/154, 932/237, 971/865 is 8144748.

LCM(36/154, 932/237, 971/865) = 8144748

LCM of 36/154, 932/237, 971/865

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 36/154,932/237,971/865

Given numbers are 36/154,932/237,971/865

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 36,932,971

Least Common Multiple of Numerators i.e. LCM of 36,932,971 is 8144748.

GCF of Denominators means GCF of 154,237,865 as per the given fractions.

GCF of 154,237,865 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,932,971

LCM of Fractions 36/154,932/237,971/865 is 8144748

2 36, 932, 971
2 18, 466, 971
9, 233, 971

∴ So the LCM of the given numbers is 2 x 2 x 9 x 233 x 971 = 8144748

Least Common Multiple of 36,932,971 with GCF Formula

Least Common Multiple of 36,932,971 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 36,932,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,932,971) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(36,932,971) x common factors =1 x 4 = 4

LCM(36,932,971) = ( 36 × 932 × 971 ) / 4

LCM(36,932,971) = 32578992 / 4

LCM(36,932,971) = 8144748


Lets's calculate GCF of 154,237,865

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8144748/1

Therefore the LCM of Fractions 36/154,932/237,971/865 is 8144748

Greatest Common Factor of 154,237,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,237,865 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Greatest Common Factor

We found the factors 154,237,865 . The biggest common factor number is the GCF number.
So the greatest common factor 154,237,865 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 36/154, 932/237, 971/865

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 36/154, 932/237, 971/865?

Answer: LCM of Numerators as per given numbers 36/154, 932/237, 971/865 is

LCM of Numerators i.e. for 36,932,971 is 8144748

GCF of denominators i.e. for 154,237,865 is 1.

Thus, LCM of Fractions is 8144748.Finally, LCM of Fractions for 36/154, 932/237, 971/865 is 8144748.