Least Common Multiple of 11/30, 880/71, 910/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/30, 880/71, 910/546 quickly i.e. 80080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/30, 880/71, 910/546 is 80080.

LCM(11/30, 880/71, 910/546) = 80080

LCM of 11/30, 880/71, 910/546

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 11/30,880/71,910/546

Given numbers are 11/30,880/71,910/546

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 11,880,910

Least Common Multiple of Numerators i.e. LCM of 11,880,910 is 80080.

GCF of Denominators means GCF of 30,71,546 as per the given fractions.

GCF of 30,71,546 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,880,910

LCM of Fractions 11/30,880/71,910/546 is 80080

2 11, 880, 910
5 11, 440, 455
11 11, 88, 91
1, 8, 91

∴ So the LCM of the given numbers is 2 x 5 x 11 x 1 x 8 x 91 = 80080

Least Common Multiple of 11,880,910 with GCF Formula

Least Common Multiple of 11,880,910 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 11,880,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,880,910) = 1

common factors(in case of two or more numbers have common factors) = 110

GCF(11,880,910) x common factors =1 x 110 = 110

LCM(11,880,910) = ( 11 × 880 × 910 ) / 110

LCM(11,880,910) = 8808800 / 110

LCM(11,880,910) = 80080


Lets's calculate GCF of 30,71,546

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80080/1

Therefore the LCM of Fractions 11/30,880/71,910/546 is 80080

Greatest Common Factor of 30,71,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,71,546 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 30,71,546 . The biggest common factor number is the GCF number.
So the greatest common factor 30,71,546 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 11/30, 880/71, 910/546

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 11/30, 880/71, 910/546?

Answer: LCM of Numerators as per given numbers 11/30, 880/71, 910/546 is

LCM of Numerators i.e. for 11,880,910 is 80080

GCF of denominators i.e. for 30,71,546 is 1.

Thus, LCM of Fractions is 80080.Finally, LCM of Fractions for 11/30, 880/71, 910/546 is 80080.