Least Common Multiple of 420/881, 915/325, 758/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/881, 915/325, 758/980 quickly i.e. 9709980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/881, 915/325, 758/980 is 9709980.

LCM(420/881, 915/325, 758/980) = 9709980

LCM of 420/881, 915/325, 758/980

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 420/881,915/325,758/980

Given numbers are 420/881,915/325,758/980

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 420,915,758

Least Common Multiple of Numerators i.e. LCM of 420,915,758 is 9709980.

GCF of Denominators means GCF of 881,325,980 as per the given fractions.

GCF of 881,325,980 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,915,758

LCM of Fractions 420/881,915/325,758/980 is 9709980

2 420, 915, 758
3 210, 915, 379
5 70, 305, 379
14, 61, 379

∴ So the LCM of the given numbers is 2 x 3 x 5 x 14 x 61 x 379 = 9709980

Least Common Multiple of 420,915,758 with GCF Formula

Least Common Multiple of 420,915,758 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 420,915,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,915,758) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(420,915,758) x common factors =1 x 30 = 30

LCM(420,915,758) = ( 420 × 915 × 758 ) / 30

LCM(420,915,758) = 291299400 / 30

LCM(420,915,758) = 9709980


Lets's calculate GCF of 881,325,980

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9709980/1

Therefore the LCM of Fractions 420/881,915/325,758/980 is 9709980

Greatest Common Factor of 881,325,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 881,325,980 By Matching Biggest Common Factor Method

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 881,325,980 . The biggest common factor number is the GCF number.
So the greatest common factor 881,325,980 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 420/881, 915/325, 758/980

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 420/881, 915/325, 758/980?

Answer: LCM of Numerators as per given numbers 420/881, 915/325, 758/980 is

LCM of Numerators i.e. for 420,915,758 is 9709980

GCF of denominators i.e. for 881,325,980 is 1.

Thus, LCM of Fractions is 9709980.Finally, LCM of Fractions for 420/881, 915/325, 758/980 is 9709980.