Least Common Multiple of 234/59, 884/62, 754/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 234/59, 884/62, 754/974 quickly i.e. 230724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/59, 884/62, 754/974 is 230724.

LCM(234/59, 884/62, 754/974) = 230724

LCM of 234/59, 884/62, 754/974

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 234/59,884/62,754/974

Given numbers are 234/59,884/62,754/974

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 234,884,754

Least Common Multiple of Numerators i.e. LCM of 234,884,754 is 230724.

GCF of Denominators means GCF of 59,62,974 as per the given fractions.

GCF of 59,62,974 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,884,754

LCM of Fractions 234/59,884/62,754/974 is 230724

2 234, 884, 754
13 117, 442, 377
9, 34, 29

∴ So the LCM of the given numbers is 2 x 13 x 9 x 34 x 29 = 230724

Least Common Multiple of 234,884,754 with GCF Formula

Least Common Multiple of 234,884,754 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 234,884,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,884,754) = 26

common factors(in case of two or more numbers have common factors) = 26

GCF(234,884,754) x common factors =26 x 26 = 676

LCM(234,884,754) = ( 234 × 884 × 754 ) / 676

LCM(234,884,754) = 155969424 / 676

LCM(234,884,754) = 230724


Lets's calculate GCF of 59,62,974

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230724/1

Therefore the LCM of Fractions 234/59,884/62,754/974 is 230724

Greatest Common Factor of 59,62,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,62,974 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 59,62,974 . The biggest common factor number is the GCF number.
So the greatest common factor 59,62,974 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 234/59, 884/62, 754/974

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 234/59, 884/62, 754/974?

Answer: LCM of Numerators as per given numbers 234/59, 884/62, 754/974 is

LCM of Numerators i.e. for 234,884,754 is 230724

GCF of denominators i.e. for 59,62,974 is 1.

Thus, LCM of Fractions is 230724.Finally, LCM of Fractions for 234/59, 884/62, 754/974 is 230724.