Least Common Multiple of 61/690, 2510/9580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/690, 2510/9580 quickly i.e. 15311 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/690, 2510/9580 is 15311.

LCM(61/690, 2510/9580) = 15311

LCM of 61/690, 2510/9580

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 61/690,2510/9580

Given numbers are 61/690,2510/9580

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 61,2510

Least Common Multiple of Numerators i.e. LCM of 61,2510 is 153110.

GCF of Denominators means GCF of 690,9580 as per the given fractions.

GCF of 690,9580 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,2510

LCM of Fractions 61/690,2510/9580 is 15311

Given numbers has no common factors except 1. So, there LCM is their product i.e 153110

Least Common Multiple of 61,2510 with GCF Formula

Least Common Multiple of 61,2510 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 61,2510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,2510) = 1

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

GCF(61,2510) x common factors =1 x 1 = 1

LCM(61,2510) = ( 61 × 2510 ) / 1

LCM(61,2510) = 153110 / 1

LCM(61,2510) = 153110


Lets's calculate GCF of 690,9580

2 690, 9580
5 345, 4790
69, 958

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153110/10

Therefore the LCM of Fractions 61/690,2510/9580 is 15311

Greatest Common Factor of 690,9580 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,9580 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 9580

List of positive integer factors of 9580 that divides 9580 without a remainder.

1,2,4,5,10,20,479,958,1916,2395,4790,9580

Greatest Common Factor

We found the factors 690,9580 . The biggest common factor number is the GCF number.
So the greatest common factor 690,9580 is 10.


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 61/690, 2510/9580

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 61/690, 2510/9580?

Answer: LCM of Numerators as per given numbers 61/690, 2510/9580 is

LCM of Numerators i.e. for 61,2510 is 153110

GCF of denominators i.e. for 690,9580 is 10.

Thus, LCM of Fractions is 15311.Finally, LCM of Fractions for 61/690, 2510/9580 is 15311.