Least Common Multiple of 267/72, 771/3170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 267/72, 771/3170 quickly i.e. 68619/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 267/72, 771/3170 is 68619/2.

LCM(267/72, 771/3170) = 68619/2

LCM of 267/72, 771/3170

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 267/72,771/3170

Given numbers are 267/72,771/3170

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 267,771

Least Common Multiple of Numerators i.e. LCM of 267,771 is 68619.

GCF of Denominators means GCF of 72,3170 as per the given fractions.

GCF of 72,3170 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 267,771

LCM of Fractions 267/72,771/3170 is 68619/2

3 267, 771
89, 257

∴ So the LCM of the given numbers is 3 x 89 x 257 = 68619

Least Common Multiple of 267,771 with GCF Formula

Least Common Multiple of 267,771 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 267,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,771) = 3

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

GCF(267,771) x common factors =3 x 1 = 3

LCM(267,771) = ( 267 × 771 ) / 3

LCM(267,771) = 205857 / 3

LCM(267,771) = 68619


Lets's calculate GCF of 72,3170

2 72, 3170
36, 1585

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68619/2

Therefore the LCM of Fractions 267/72,771/3170 is 68619/2

Greatest Common Factor of 72,3170 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,3170 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 3170

List of positive integer factors of 3170 that divides 3170 without a remainder.

1,2,5,10,317,634,1585,3170

Greatest Common Factor

We found the factors 72,3170 . The biggest common factor number is the GCF number.
So the greatest common factor 72,3170 is 2.


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 267/72, 771/3170

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 267/72, 771/3170?

Answer: LCM of Numerators as per given numbers 267/72, 771/3170 is

LCM of Numerators i.e. for 267,771 is 68619

GCF of denominators i.e. for 72,3170 is 2.

Thus, LCM of Fractions is 68619/2.Finally, LCM of Fractions for 267/72, 771/3170 is 68619/2.