Least Common Multiple of 931/60, 967/4065

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 931/60, 967/4065 quickly i.e. 900277/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 931/60, 967/4065 is 900277/15.

LCM(931/60, 967/4065) = 900277/15

LCM of 931/60, 967/4065

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 931/60,967/4065

Given numbers are 931/60,967/4065

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 931,967

Least Common Multiple of Numerators i.e. LCM of 931,967 is 900277.

GCF of Denominators means GCF of 60,4065 as per the given fractions.

GCF of 60,4065 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 931,967

LCM of Fractions 931/60,967/4065 is 900277/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 900277

Least Common Multiple of 931,967 with GCF Formula

Least Common Multiple of 931,967 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 931,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,967) = 1

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

GCF(931,967) x common factors =1 x 1 = 1

LCM(931,967) = ( 931 × 967 ) / 1

LCM(931,967) = 900277 / 1

LCM(931,967) = 900277


Lets's calculate GCF of 60,4065

3 60, 4065
5 20, 1355
4, 271

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 900277/15

Therefore the LCM of Fractions 931/60,967/4065 is 900277/15

Greatest Common Factor of 60,4065 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,4065 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 4065

List of positive integer factors of 4065 that divides 4065 without a remainder.

1,3,5,15,271,813,1355,4065

Greatest Common Factor

We found the factors 60,4065 . The biggest common factor number is the GCF number.
So the greatest common factor 60,4065 is 15.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 931/60, 967/4065

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 931/60, 967/4065?

Answer: LCM of Numerators as per given numbers 931/60, 967/4065 is

LCM of Numerators i.e. for 931,967 is 900277

GCF of denominators i.e. for 60,4065 is 15.

Thus, LCM of Fractions is 900277/15.Finally, LCM of Fractions for 931/60, 967/4065 is 900277/15.