Least Common Multiple of 62/75, 62/20, 15/92, 35/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/75, 62/20, 15/92, 35/845 quickly i.e. 6510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/75, 62/20, 15/92, 35/845 is 6510.

LCM(62/75, 62/20, 15/92, 35/845) = 6510

LCM of 62/75, 62/20, 15/92, 35/845

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 62/75,62/20,15/92,35/845

Given numbers are 62/75,62/20,15/92,35/845

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 62,62,15,35

Least Common Multiple of Numerators i.e. LCM of 62,62,15,35 is 6510.

GCF of Denominators means GCF of 75,20,92,845 as per the given fractions.

GCF of 75,20,92,845 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,62,15,35

LCM of Fractions 62/75,62/20,15/92,35/845 is 6510

2 62, 62, 15, 35
5 31, 31, 15, 35
31 31, 31, 3, 7
1, 1, 3, 7

∴ So the LCM of the given numbers is 2 x 5 x 31 x 1 x 1 x 3 x 7 = 6510

Least Common Multiple of 62,62,15,35 with GCF Formula

Least Common Multiple of 62,62,15,35 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 62,62,15,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,62,15,35) = 1

common factors(in case of two or more numbers have common factors) = 310

GCF(62,62,15,35) x common factors =1 x 310 = 310

LCM(62,62,15,35) = ( 62 × 62 × 15 × 35 ) / 310

LCM(62,62,15,35) = 2018100 / 310

LCM(62,62,15,35) = 6510


Lets's calculate GCF of 75,20,92,845

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6510/1

Therefore the LCM of Fractions 62/75,62/20,15/92,35/845 is 6510

Greatest Common Factor of 75,20,92,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,20,92,845 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 75,20,92,845 . The biggest common factor number is the GCF number.
So the greatest common factor 75,20,92,845 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 62/75, 62/20, 15/92, 35/845

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 62/75, 62/20, 15/92, 35/845?

Answer: LCM of Numerators as per given numbers 62/75, 62/20, 15/92, 35/845 is

LCM of Numerators i.e. for 62,62,15,35 is 6510

GCF of denominators i.e. for 75,20,92,845 is 1.

Thus, LCM of Fractions is 6510.Finally, LCM of Fractions for 62/75, 62/20, 15/92, 35/845 is 6510.