Least Common Multiple of 34/55, 638/54, 696/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/55, 638/54, 696/422 quickly i.e. 130152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/55, 638/54, 696/422 is 130152.

LCM(34/55, 638/54, 696/422) = 130152

LCM of 34/55, 638/54, 696/422

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 34/55,638/54,696/422

Given numbers are 34/55,638/54,696/422

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 34,638,696

Least Common Multiple of Numerators i.e. LCM of 34,638,696 is 130152.

GCF of Denominators means GCF of 55,54,422 as per the given fractions.

GCF of 55,54,422 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,638,696

LCM of Fractions 34/55,638/54,696/422 is 130152

2 34, 638, 696
29 17, 319, 348
17, 11, 12

∴ So the LCM of the given numbers is 2 x 29 x 17 x 11 x 12 = 130152

Least Common Multiple of 34,638,696 with GCF Formula

Least Common Multiple of 34,638,696 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 34,638,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,638,696) = 2

common factors(in case of two or more numbers have common factors) = 58

GCF(34,638,696) x common factors =2 x 58 = 116

LCM(34,638,696) = ( 34 × 638 × 696 ) / 116

LCM(34,638,696) = 15097632 / 116

LCM(34,638,696) = 130152


Lets's calculate GCF of 55,54,422

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130152/1

Therefore the LCM of Fractions 34/55,638/54,696/422 is 130152

Greatest Common Factor of 55,54,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,54,422 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 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 55,54,422 . The biggest common factor number is the GCF number.
So the greatest common factor 55,54,422 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 34/55, 638/54, 696/422

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 34/55, 638/54, 696/422?

Answer: LCM of Numerators as per given numbers 34/55, 638/54, 696/422 is

LCM of Numerators i.e. for 34,638,696 is 130152

GCF of denominators i.e. for 55,54,422 is 1.

Thus, LCM of Fractions is 130152.Finally, LCM of Fractions for 34/55, 638/54, 696/422 is 130152.