Least Common Multiple of 10/610, 7630/8585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/610, 7630/8585 quickly i.e. 1526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/610, 7630/8585 is 1526.

LCM(10/610, 7630/8585) = 1526

LCM of 10/610, 7630/8585

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 10/610,7630/8585

Given numbers are 10/610,7630/8585

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 10,7630

Least Common Multiple of Numerators i.e. LCM of 10,7630 is 7630.

GCF of Denominators means GCF of 610,8585 as per the given fractions.

GCF of 610,8585 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,7630

LCM of Fractions 10/610,7630/8585 is 1526

2 10, 7630
5 5, 3815
1, 763

∴ So the LCM of the given numbers is 2 x 5 x 1 x 763 = 7630

Least Common Multiple of 10,7630 with GCF Formula

Least Common Multiple of 10,7630 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 10,7630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,7630) = 10

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

GCF(10,7630) x common factors =10 x 1 = 10

LCM(10,7630) = ( 10 × 7630 ) / 10

LCM(10,7630) = 76300 / 10

LCM(10,7630) = 7630


Lets's calculate GCF of 610,8585

5 610, 8585
122, 1717

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7630/5

Therefore the LCM of Fractions 10/610,7630/8585 is 1526

Greatest Common Factor of 610,8585 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,8585 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 8585

List of positive integer factors of 8585 that divides 8585 without a remainder.

1,5,17,85,101,505,1717,8585

Greatest Common Factor

We found the factors 610,8585 . The biggest common factor number is the GCF number.
So the greatest common factor 610,8585 is 5.


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 10/610, 7630/8585

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 10/610, 7630/8585?

Answer: LCM of Numerators as per given numbers 10/610, 7630/8585 is

LCM of Numerators i.e. for 10,7630 is 7630

GCF of denominators i.e. for 610,8585 is 5.

Thus, LCM of Fractions is 1526.Finally, LCM of Fractions for 10/610, 7630/8585 is 1526.