Least Common Multiple of 508/24, 340/7628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 508/24, 340/7628 quickly i.e. 10795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 508/24, 340/7628 is 10795.

LCM(508/24, 340/7628) = 10795

LCM of 508/24, 340/7628

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 508/24,340/7628

Given numbers are 508/24,340/7628

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 508,340

Least Common Multiple of Numerators i.e. LCM of 508,340 is 43180.

GCF of Denominators means GCF of 24,7628 as per the given fractions.

GCF of 24,7628 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 508,340

LCM of Fractions 508/24,340/7628 is 10795

2 508, 340
2 254, 170
127, 85

∴ So the LCM of the given numbers is 2 x 2 x 127 x 85 = 43180

Least Common Multiple of 508,340 with GCF Formula

Least Common Multiple of 508,340 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 508,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,340) = 4

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

GCF(508,340) x common factors =4 x 1 = 4

LCM(508,340) = ( 508 × 340 ) / 4

LCM(508,340) = 172720 / 4

LCM(508,340) = 43180


Lets's calculate GCF of 24,7628

2 24, 7628
2 12, 3814
6, 1907

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43180/4

Therefore the LCM of Fractions 508/24,340/7628 is 10795

Greatest Common Factor of 24,7628 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,7628 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 7628

List of positive integer factors of 7628 that divides 7628 without a remainder.

1,2,4,1907,3814,7628

Greatest Common Factor

We found the factors 24,7628 . The biggest common factor number is the GCF number.
So the greatest common factor 24,7628 is 4.


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 508/24, 340/7628

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 508/24, 340/7628?

Answer: LCM of Numerators as per given numbers 508/24, 340/7628 is

LCM of Numerators i.e. for 508,340 is 43180

GCF of denominators i.e. for 24,7628 is 4.

Thus, LCM of Fractions is 10795.Finally, LCM of Fractions for 508/24, 340/7628 is 10795.