Least Common Multiple of 21/658, 2360/7486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/658, 2360/7486 quickly i.e. 24780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/658, 2360/7486 is 24780.

LCM(21/658, 2360/7486) = 24780

LCM of 21/658, 2360/7486

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 21/658,2360/7486

Given numbers are 21/658,2360/7486

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 21,2360

Least Common Multiple of Numerators i.e. LCM of 21,2360 is 49560.

GCF of Denominators means GCF of 658,7486 as per the given fractions.

GCF of 658,7486 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,2360

LCM of Fractions 21/658,2360/7486 is 24780

Given numbers has no common factors except 1. So, there LCM is their product i.e 49560

Least Common Multiple of 21,2360 with GCF Formula

Least Common Multiple of 21,2360 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 21,2360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,2360) = 1

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

GCF(21,2360) x common factors =1 x 1 = 1

LCM(21,2360) = ( 21 × 2360 ) / 1

LCM(21,2360) = 49560 / 1

LCM(21,2360) = 49560


Lets's calculate GCF of 658,7486

2 658, 7486
329, 3743

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49560/2

Therefore the LCM of Fractions 21/658,2360/7486 is 24780

Greatest Common Factor of 658,7486 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,7486 By Matching Biggest Common Factor Method

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 7486

List of positive integer factors of 7486 that divides 7486 without a remainder.

1,2,19,38,197,394,3743,7486

Greatest Common Factor

We found the factors 658,7486 . The biggest common factor number is the GCF number.
So the greatest common factor 658,7486 is 2.


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 21/658, 2360/7486

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 21/658, 2360/7486?

Answer: LCM of Numerators as per given numbers 21/658, 2360/7486 is

LCM of Numerators i.e. for 21,2360 is 49560

GCF of denominators i.e. for 658,7486 is 2.

Thus, LCM of Fractions is 24780.Finally, LCM of Fractions for 21/658, 2360/7486 is 24780.