Least Common Multiple of 38/342, 311/894, 758/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/342, 311/894, 758/137 quickly i.e. 4479022 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/342, 311/894, 758/137 is 4479022.

LCM(38/342, 311/894, 758/137) = 4479022

LCM of 38/342, 311/894, 758/137

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 38/342,311/894,758/137

Given numbers are 38/342,311/894,758/137

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 38,311,758

Least Common Multiple of Numerators i.e. LCM of 38,311,758 is 4479022.

GCF of Denominators means GCF of 342,894,137 as per the given fractions.

GCF of 342,894,137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,311,758

LCM of Fractions 38/342,311/894,758/137 is 4479022

2 38, 311, 758
19, 311, 379

∴ So the LCM of the given numbers is 2 x 19 x 311 x 379 = 4479022

Least Common Multiple of 38,311,758 with GCF Formula

Least Common Multiple of 38,311,758 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 38,311,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,311,758) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,311,758) x common factors =1 x 2 = 2

LCM(38,311,758) = ( 38 × 311 × 758 ) / 2

LCM(38,311,758) = 8958044 / 2

LCM(38,311,758) = 4479022


Lets's calculate GCF of 342,894,137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4479022/1

Therefore the LCM of Fractions 38/342,311/894,758/137 is 4479022

Greatest Common Factor of 342,894,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,894,137 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 342,894,137 . The biggest common factor number is the GCF number.
So the greatest common factor 342,894,137 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 38/342, 311/894, 758/137

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 38/342, 311/894, 758/137?

Answer: LCM of Numerators as per given numbers 38/342, 311/894, 758/137 is

LCM of Numerators i.e. for 38,311,758 is 4479022

GCF of denominators i.e. for 342,894,137 is 1.

Thus, LCM of Fractions is 4479022.Finally, LCM of Fractions for 38/342, 311/894, 758/137 is 4479022.