Least Common Multiple of 40/31, 28/59, 617/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/31, 28/59, 617/549 quickly i.e. 172760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/31, 28/59, 617/549 is 172760.

LCM(40/31, 28/59, 617/549) = 172760

LCM of 40/31, 28/59, 617/549

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 40/31,28/59,617/549

Given numbers are 40/31,28/59,617/549

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 40,28,617

Least Common Multiple of Numerators i.e. LCM of 40,28,617 is 172760.

GCF of Denominators means GCF of 31,59,549 as per the given fractions.

GCF of 31,59,549 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,28,617

LCM of Fractions 40/31,28/59,617/549 is 172760

2 40, 28, 617
2 20, 14, 617
10, 7, 617

∴ So the LCM of the given numbers is 2 x 2 x 10 x 7 x 617 = 172760

Least Common Multiple of 40,28,617 with GCF Formula

Least Common Multiple of 40,28,617 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 40,28,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,28,617) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(40,28,617) x common factors =1 x 4 = 4

LCM(40,28,617) = ( 40 × 28 × 617 ) / 4

LCM(40,28,617) = 691040 / 4

LCM(40,28,617) = 172760


Lets's calculate GCF of 31,59,549

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172760/1

Therefore the LCM of Fractions 40/31,28/59,617/549 is 172760

Greatest Common Factor of 31,59,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,59,549 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 31,59,549 . The biggest common factor number is the GCF number.
So the greatest common factor 31,59,549 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 40/31, 28/59, 617/549

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 40/31, 28/59, 617/549?

Answer: LCM of Numerators as per given numbers 40/31, 28/59, 617/549 is

LCM of Numerators i.e. for 40,28,617 is 172760

GCF of denominators i.e. for 31,59,549 is 1.

Thus, LCM of Fractions is 172760.Finally, LCM of Fractions for 40/31, 28/59, 617/549 is 172760.