Least Common Multiple of 38/940, 629/294, 307/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 38/940, 629/294, 307/302 quickly i.e. 3668957 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/940, 629/294, 307/302 is 3668957.

LCM(38/940, 629/294, 307/302) = 3668957

LCM of 38/940, 629/294, 307/302

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 38/940,629/294,307/302

Given numbers are 38/940,629/294,307/302

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 38,629,307

Least Common Multiple of Numerators i.e. LCM of 38,629,307 is 7337914.

GCF of Denominators means GCF of 940,294,302 as per the given fractions.

GCF of 940,294,302 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,629,307

LCM of Fractions 38/940,629/294,307/302 is 3668957

Given numbers has no common factors except 1. So, there LCM is their product i.e 7337914

Least Common Multiple of 38,629,307 with GCF Formula

Least Common Multiple of 38,629,307 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 38,629,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,629,307) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(38,629,307) x common factors =1 x 1 = 1

LCM(38,629,307) = ( 38 × 629 × 307 ) / 1

LCM(38,629,307) = 7337914 / 1

LCM(38,629,307) = 7337914


Lets's calculate GCF of 940,294,302

2 940, 294, 302
470, 147, 151

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7337914/2

Therefore the LCM of Fractions 38/940,629/294,307/302 is 3668957

Greatest Common Factor of 940,294,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,294,302 By Matching Biggest Common Factor Method

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 940,294,302 . The biggest common factor number is the GCF number.
So the greatest common factor 940,294,302 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 38/940, 629/294, 307/302

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 38/940, 629/294, 307/302?

Answer: LCM of Numerators as per given numbers 38/940, 629/294, 307/302 is

LCM of Numerators i.e. for 38,629,307 is 7337914

GCF of denominators i.e. for 940,294,302 is 2.

Thus, LCM of Fractions is 3668957.Finally, LCM of Fractions for 38/940, 629/294, 307/302 is 3668957.