Least Common Multiple of 53/334, 38/948, 623/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/334, 38/948, 623/854 quickly i.e. 627361 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/334, 38/948, 623/854 is 627361.

LCM(53/334, 38/948, 623/854) = 627361

LCM of 53/334, 38/948, 623/854

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 53/334,38/948,623/854

Given numbers are 53/334,38/948,623/854

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 53,38,623

Least Common Multiple of Numerators i.e. LCM of 53,38,623 is 1254722.

GCF of Denominators means GCF of 334,948,854 as per the given fractions.

GCF of 334,948,854 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,38,623

LCM of Fractions 53/334,38/948,623/854 is 627361

Given numbers has no common factors except 1. So, there LCM is their product i.e 1254722

Least Common Multiple of 53,38,623 with GCF Formula

Least Common Multiple of 53,38,623 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 53,38,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,38,623) = 1

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

GCF(53,38,623) x common factors =1 x 1 = 1

LCM(53,38,623) = ( 53 × 38 × 623 ) / 1

LCM(53,38,623) = 1254722 / 1

LCM(53,38,623) = 1254722


Lets's calculate GCF of 334,948,854

2 334, 948, 854
167, 474, 427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1254722/2

Therefore the LCM of Fractions 53/334,38/948,623/854 is 627361

Greatest Common Factor of 334,948,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,948,854 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 334,948,854 . The biggest common factor number is the GCF number.
So the greatest common factor 334,948,854 is 2.


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 53/334, 38/948, 623/854

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 53/334, 38/948, 623/854?

Answer: LCM of Numerators as per given numbers 53/334, 38/948, 623/854 is

LCM of Numerators i.e. for 53,38,623 is 1254722

GCF of denominators i.e. for 334,948,854 is 2.

Thus, LCM of Fractions is 627361.Finally, LCM of Fractions for 53/334, 38/948, 623/854 is 627361.