Least Common Multiple of 60/65, 70/11, 24/68, 70/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/65, 70/11, 24/68, 70/971 quickly i.e. 840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/65, 70/11, 24/68, 70/971 is 840.

LCM(60/65, 70/11, 24/68, 70/971) = 840

LCM of 60/65, 70/11, 24/68, 70/971

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 60/65,70/11,24/68,70/971

Given numbers are 60/65,70/11,24/68,70/971

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 60,70,24,70

Least Common Multiple of Numerators i.e. LCM of 60,70,24,70 is 840.

GCF of Denominators means GCF of 65,11,68,971 as per the given fractions.

GCF of 65,11,68,971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,70,24,70

LCM of Fractions 60/65,70/11,24/68,70/971 is 840

2 60, 70, 24, 70
2 30, 35, 12, 35
3 15, 35, 6, 35
5 5, 35, 2, 35
7 1, 7, 2, 7
1, 1, 2, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 1 x 1 x 2 x 1 = 840

Least Common Multiple of 60,70,24,70 with GCF Formula

Least Common Multiple of 60,70,24,70 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 60,70,24,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,70,24,70) = 2

common factors(in case of two or more numbers have common factors) = 4200

GCF(60,70,24,70) x common factors =2 x 4200 = 8400

LCM(60,70,24,70) = ( 60 × 70 × 24 × 70 ) / 8400

LCM(60,70,24,70) = 7056000 / 8400

LCM(60,70,24,70) = 840


Lets's calculate GCF of 65,11,68,971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 840/1

Therefore the LCM of Fractions 60/65,70/11,24/68,70/971 is 840

Greatest Common Factor of 65,11,68,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,11,68,971 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 65,11,68,971 . The biggest common factor number is the GCF number.
So the greatest common factor 65,11,68,971 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 60/65, 70/11, 24/68, 70/971

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 60/65, 70/11, 24/68, 70/971?

Answer: LCM of Numerators as per given numbers 60/65, 70/11, 24/68, 70/971 is

LCM of Numerators i.e. for 60,70,24,70 is 840

GCF of denominators i.e. for 65,11,68,971 is 1.

Thus, LCM of Fractions is 840.Finally, LCM of Fractions for 60/65, 70/11, 24/68, 70/971 is 840.