Least Common Multiple of 985/112, 543/493, 732/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 985/112, 543/493, 732/109 quickly i.e. 130504620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 985/112, 543/493, 732/109 is 130504620.

LCM(985/112, 543/493, 732/109) = 130504620

LCM of 985/112, 543/493, 732/109

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 985/112,543/493,732/109

Given numbers are 985/112,543/493,732/109

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 985,543,732

Least Common Multiple of Numerators i.e. LCM of 985,543,732 is 130504620.

GCF of Denominators means GCF of 112,493,109 as per the given fractions.

GCF of 112,493,109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 985,543,732

LCM of Fractions 985/112,543/493,732/109 is 130504620

3 985, 543, 732
985, 181, 244

∴ So the LCM of the given numbers is 3 x 985 x 181 x 244 = 130504620

Least Common Multiple of 985,543,732 with GCF Formula

Least Common Multiple of 985,543,732 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 985,543,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(985,543,732) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(985,543,732) x common factors =1 x 3 = 3

LCM(985,543,732) = ( 985 × 543 × 732 ) / 3

LCM(985,543,732) = 391513860 / 3

LCM(985,543,732) = 130504620


Lets's calculate GCF of 112,493,109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130504620/1

Therefore the LCM of Fractions 985/112,543/493,732/109 is 130504620

Greatest Common Factor of 112,493,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,493,109 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 112,493,109 . The biggest common factor number is the GCF number.
So the greatest common factor 112,493,109 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 985/112, 543/493, 732/109

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 985/112, 543/493, 732/109?

Answer: LCM of Numerators as per given numbers 985/112, 543/493, 732/109 is

LCM of Numerators i.e. for 985,543,732 is 130504620

GCF of denominators i.e. for 112,493,109 is 1.

Thus, LCM of Fractions is 130504620.Finally, LCM of Fractions for 985/112, 543/493, 732/109 is 130504620.