Least Common Multiple of 70/551, 40/682, 135/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/551, 40/682, 135/138 quickly i.e. 7560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/551, 40/682, 135/138 is 7560.

LCM(70/551, 40/682, 135/138) = 7560

LCM of 70/551, 40/682, 135/138

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 70/551,40/682,135/138

Given numbers are 70/551,40/682,135/138

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 70,40,135

Least Common Multiple of Numerators i.e. LCM of 70,40,135 is 7560.

GCF of Denominators means GCF of 551,682,138 as per the given fractions.

GCF of 551,682,138 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,40,135

LCM of Fractions 70/551,40/682,135/138 is 7560

2 70, 40, 135
5 35, 20, 135
7, 4, 27

∴ So the LCM of the given numbers is 2 x 5 x 7 x 4 x 27 = 7560

Least Common Multiple of 70,40,135 with GCF Formula

Least Common Multiple of 70,40,135 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 70,40,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,40,135) = 5

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

GCF(70,40,135) x common factors =5 x 10 = 50

LCM(70,40,135) = ( 70 × 40 × 135 ) / 50

LCM(70,40,135) = 378000 / 50

LCM(70,40,135) = 7560


Lets's calculate GCF of 551,682,138

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7560/1

Therefore the LCM of Fractions 70/551,40/682,135/138 is 7560

Greatest Common Factor of 551,682,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,682,138 By Matching Biggest Common Factor Method

Factors of 551

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

1,19,29,551

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 551,682,138 . The biggest common factor number is the GCF number.
So the greatest common factor 551,682,138 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 70/551, 40/682, 135/138

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 70/551, 40/682, 135/138?

Answer: LCM of Numerators as per given numbers 70/551, 40/682, 135/138 is

LCM of Numerators i.e. for 70,40,135 is 7560

GCF of denominators i.e. for 551,682,138 is 1.

Thus, LCM of Fractions is 7560.Finally, LCM of Fractions for 70/551, 40/682, 135/138 is 7560.