Least Common Multiple of 626/20, 707/38, 480/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 626/20, 707/38, 480/975 quickly i.e. 106219680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 626/20, 707/38, 480/975 is 106219680.

LCM(626/20, 707/38, 480/975) = 106219680

LCM of 626/20, 707/38, 480/975

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 626/20,707/38,480/975

Given numbers are 626/20,707/38,480/975

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 626,707,480

Least Common Multiple of Numerators i.e. LCM of 626,707,480 is 106219680.

GCF of Denominators means GCF of 20,38,975 as per the given fractions.

GCF of 20,38,975 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 626,707,480

LCM of Fractions 626/20,707/38,480/975 is 106219680

2 626, 707, 480
313, 707, 240

∴ So the LCM of the given numbers is 2 x 313 x 707 x 240 = 106219680

Least Common Multiple of 626,707,480 with GCF Formula

Least Common Multiple of 626,707,480 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 626,707,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,707,480) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(626,707,480) x common factors =1 x 2 = 2

LCM(626,707,480) = ( 626 × 707 × 480 ) / 2

LCM(626,707,480) = 212439360 / 2

LCM(626,707,480) = 106219680


Lets's calculate GCF of 20,38,975

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106219680/1

Therefore the LCM of Fractions 626/20,707/38,480/975 is 106219680

Greatest Common Factor of 20,38,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,38,975 By Matching Biggest Common Factor Method

Factors of 20

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

1,2,4,5,10,20

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 20,38,975 . The biggest common factor number is the GCF number.
So the greatest common factor 20,38,975 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 626/20, 707/38, 480/975

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 626/20, 707/38, 480/975?

Answer: LCM of Numerators as per given numbers 626/20, 707/38, 480/975 is

LCM of Numerators i.e. for 626,707,480 is 106219680

GCF of denominators i.e. for 20,38,975 is 1.

Thus, LCM of Fractions is 106219680.Finally, LCM of Fractions for 626/20, 707/38, 480/975 is 106219680.