Least Common Multiple of 107/71, 430/44, 216/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 107/71, 430/44, 216/546 quickly i.e. 4969080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 107/71, 430/44, 216/546 is 4969080.

LCM(107/71, 430/44, 216/546) = 4969080

LCM of 107/71, 430/44, 216/546

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 107/71,430/44,216/546

Given numbers are 107/71,430/44,216/546

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 107,430,216

Least Common Multiple of Numerators i.e. LCM of 107,430,216 is 4969080.

GCF of Denominators means GCF of 71,44,546 as per the given fractions.

GCF of 71,44,546 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 107,430,216

LCM of Fractions 107/71,430/44,216/546 is 4969080

2 107, 430, 216
107, 215, 108

∴ So the LCM of the given numbers is 2 x 107 x 215 x 108 = 4969080

Least Common Multiple of 107,430,216 with GCF Formula

Least Common Multiple of 107,430,216 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 107,430,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,430,216) = 1

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

GCF(107,430,216) x common factors =1 x 2 = 2

LCM(107,430,216) = ( 107 × 430 × 216 ) / 2

LCM(107,430,216) = 9938160 / 2

LCM(107,430,216) = 4969080


Lets's calculate GCF of 71,44,546

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4969080/1

Therefore the LCM of Fractions 107/71,430/44,216/546 is 4969080

Greatest Common Factor of 71,44,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,44,546 By Matching Biggest Common Factor Method

Factors of 71

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

1,71

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

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 71,44,546 . The biggest common factor number is the GCF number.
So the greatest common factor 71,44,546 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 107/71, 430/44, 216/546

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 107/71, 430/44, 216/546?

Answer: LCM of Numerators as per given numbers 107/71, 430/44, 216/546 is

LCM of Numerators i.e. for 107,430,216 is 4969080

GCF of denominators i.e. for 71,44,546 is 1.

Thus, LCM of Fractions is 4969080.Finally, LCM of Fractions for 107/71, 430/44, 216/546 is 4969080.