Least Common Multiple of 245/546, 142/687, 932/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 245/546, 142/687, 932/627 quickly i.e. 16212140/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 245/546, 142/687, 932/627 is 16212140/3.

LCM(245/546, 142/687, 932/627) = 16212140/3

LCM of 245/546, 142/687, 932/627

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 245/546,142/687,932/627

Given numbers are 245/546,142/687,932/627

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 245,142,932

Least Common Multiple of Numerators i.e. LCM of 245,142,932 is 16212140.

GCF of Denominators means GCF of 546,687,627 as per the given fractions.

GCF of 546,687,627 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 245,142,932

LCM of Fractions 245/546,142/687,932/627 is 16212140/3

2 245, 142, 932
245, 71, 466

∴ So the LCM of the given numbers is 2 x 245 x 71 x 466 = 16212140

Least Common Multiple of 245,142,932 with GCF Formula

Least Common Multiple of 245,142,932 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 245,142,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,142,932) = 1

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

GCF(245,142,932) x common factors =1 x 2 = 2

LCM(245,142,932) = ( 245 × 142 × 932 ) / 2

LCM(245,142,932) = 32424280 / 2

LCM(245,142,932) = 16212140


Lets's calculate GCF of 546,687,627

3 546, 687, 627
182, 229, 209

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16212140/3

Therefore the LCM of Fractions 245/546,142/687,932/627 is 16212140/3

Greatest Common Factor of 546,687,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,687,627 By Matching Biggest Common Factor Method

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

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 546,687,627 . The biggest common factor number is the GCF number.
So the greatest common factor 546,687,627 is 3.


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 245/546, 142/687, 932/627

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 245/546, 142/687, 932/627?

Answer: LCM of Numerators as per given numbers 245/546, 142/687, 932/627 is

LCM of Numerators i.e. for 245,142,932 is 16212140

GCF of denominators i.e. for 546,687,627 is 3.

Thus, LCM of Fractions is 16212140/3.Finally, LCM of Fractions for 245/546, 142/687, 932/627 is 16212140/3.