Least Common Multiple of 62/85, 59/70, 72/85, 10/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/85, 59/70, 72/85, 10/936 quickly i.e. 658440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/85, 59/70, 72/85, 10/936 is 658440.

LCM(62/85, 59/70, 72/85, 10/936) = 658440

LCM of 62/85, 59/70, 72/85, 10/936

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 62/85,59/70,72/85,10/936

Given numbers are 62/85,59/70,72/85,10/936

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 62,59,72,10

Least Common Multiple of Numerators i.e. LCM of 62,59,72,10 is 658440.

GCF of Denominators means GCF of 85,70,85,936 as per the given fractions.

GCF of 85,70,85,936 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,59,72,10

LCM of Fractions 62/85,59/70,72/85,10/936 is 658440

2 62, 59, 72, 10
31, 59, 36, 5

∴ So the LCM of the given numbers is 2 x 31 x 59 x 36 x 5 = 658440

Least Common Multiple of 62,59,72,10 with GCF Formula

Least Common Multiple of 62,59,72,10 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 62,59,72,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,59,72,10) = 1

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

GCF(62,59,72,10) x common factors =1 x 4 = 4

LCM(62,59,72,10) = ( 62 × 59 × 72 × 10 ) / 4

LCM(62,59,72,10) = 2633760 / 4

LCM(62,59,72,10) = 658440


Lets's calculate GCF of 85,70,85,936

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 658440/1

Therefore the LCM of Fractions 62/85,59/70,72/85,10/936 is 658440

Greatest Common Factor of 85,70,85,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,70,85,936 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 85,70,85,936 . The biggest common factor number is the GCF number.
So the greatest common factor 85,70,85,936 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 62/85, 59/70, 72/85, 10/936

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 62/85, 59/70, 72/85, 10/936?

Answer: LCM of Numerators as per given numbers 62/85, 59/70, 72/85, 10/936 is

LCM of Numerators i.e. for 62,59,72,10 is 658440

GCF of denominators i.e. for 85,70,85,936 is 1.

Thus, LCM of Fractions is 658440.Finally, LCM of Fractions for 62/85, 59/70, 72/85, 10/936 is 658440.