Least Common Multiple of 106/551, 156/270, 138/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 106/551, 156/270, 138/703 quickly i.e. 190164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 106/551, 156/270, 138/703 is 190164.

LCM(106/551, 156/270, 138/703) = 190164

LCM of 106/551, 156/270, 138/703

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 106/551,156/270,138/703

Given numbers are 106/551,156/270,138/703

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 106,156,138

Least Common Multiple of Numerators i.e. LCM of 106,156,138 is 190164.

GCF of Denominators means GCF of 551,270,703 as per the given fractions.

GCF of 551,270,703 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 106,156,138

LCM of Fractions 106/551,156/270,138/703 is 190164

2 106, 156, 138
3 53, 78, 69
53, 26, 23

∴ So the LCM of the given numbers is 2 x 3 x 53 x 26 x 23 = 190164

Least Common Multiple of 106,156,138 with GCF Formula

Least Common Multiple of 106,156,138 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 106,156,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,156,138) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(106,156,138) x common factors =2 x 6 = 12

LCM(106,156,138) = ( 106 × 156 × 138 ) / 12

LCM(106,156,138) = 2281968 / 12

LCM(106,156,138) = 190164


Lets's calculate GCF of 551,270,703

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190164/1

Therefore the LCM of Fractions 106/551,156/270,138/703 is 190164

Greatest Common Factor of 551,270,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,270,703 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 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 551,270,703 . The biggest common factor number is the GCF number.
So the greatest common factor 551,270,703 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 106/551, 156/270, 138/703

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 106/551, 156/270, 138/703?

Answer: LCM of Numerators as per given numbers 106/551, 156/270, 138/703 is

LCM of Numerators i.e. for 106,156,138 is 190164

GCF of denominators i.e. for 551,270,703 is 1.

Thus, LCM of Fractions is 190164.Finally, LCM of Fractions for 106/551, 156/270, 138/703 is 190164.