Least Common Multiple of 40/55, 10/551, 758/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/55, 10/551, 758/109 quickly i.e. 15160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/55, 10/551, 758/109 is 15160.

LCM(40/55, 10/551, 758/109) = 15160

LCM of 40/55, 10/551, 758/109

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 40/55,10/551,758/109

Given numbers are 40/55,10/551,758/109

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 40,10,758

Least Common Multiple of Numerators i.e. LCM of 40,10,758 is 15160.

GCF of Denominators means GCF of 55,551,109 as per the given fractions.

GCF of 55,551,109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,10,758

LCM of Fractions 40/55,10/551,758/109 is 15160

2 40, 10, 758
5 20, 5, 379
4, 1, 379

∴ So the LCM of the given numbers is 2 x 5 x 4 x 1 x 379 = 15160

Least Common Multiple of 40,10,758 with GCF Formula

Least Common Multiple of 40,10,758 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 40,10,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,10,758) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(40,10,758) x common factors =2 x 10 = 20

LCM(40,10,758) = ( 40 × 10 × 758 ) / 20

LCM(40,10,758) = 303200 / 20

LCM(40,10,758) = 15160


Lets's calculate GCF of 55,551,109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15160/1

Therefore the LCM of Fractions 40/55,10/551,758/109 is 15160

Greatest Common Factor of 55,551,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,551,109 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

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 55,551,109 . The biggest common factor number is the GCF number.
So the greatest common factor 55,551,109 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 40/55, 10/551, 758/109

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 40/55, 10/551, 758/109?

Answer: LCM of Numerators as per given numbers 40/55, 10/551, 758/109 is

LCM of Numerators i.e. for 40,10,758 is 15160

GCF of denominators i.e. for 55,551,109 is 1.

Thus, LCM of Fractions is 15160.Finally, LCM of Fractions for 40/55, 10/551, 758/109 is 15160.