Least Common Multiple of 74/210, 23/861, 524/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/210, 23/861, 524/294 quickly i.e. 445924/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/210, 23/861, 524/294 is 445924/21.

LCM(74/210, 23/861, 524/294) = 445924/21

LCM of 74/210, 23/861, 524/294

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 74/210,23/861,524/294

Given numbers are 74/210,23/861,524/294

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 74,23,524

Least Common Multiple of Numerators i.e. LCM of 74,23,524 is 445924.

GCF of Denominators means GCF of 210,861,294 as per the given fractions.

GCF of 210,861,294 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,23,524

LCM of Fractions 74/210,23/861,524/294 is 445924/21

2 74, 23, 524
37, 23, 262

∴ So the LCM of the given numbers is 2 x 37 x 23 x 262 = 445924

Least Common Multiple of 74,23,524 with GCF Formula

Least Common Multiple of 74,23,524 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 74,23,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,23,524) = 1

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

GCF(74,23,524) x common factors =1 x 2 = 2

LCM(74,23,524) = ( 74 × 23 × 524 ) / 2

LCM(74,23,524) = 891848 / 2

LCM(74,23,524) = 445924


Lets's calculate GCF of 210,861,294

3 210, 861, 294
7 70, 287, 98
10, 41, 14

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 445924/21

Therefore the LCM of Fractions 74/210,23/861,524/294 is 445924/21

Greatest Common Factor of 210,861,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,861,294 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

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

Greatest Common Factor

We found the factors 210,861,294 . The biggest common factor number is the GCF number.
So the greatest common factor 210,861,294 is 21.


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 74/210, 23/861, 524/294

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 74/210, 23/861, 524/294?

Answer: LCM of Numerators as per given numbers 74/210, 23/861, 524/294 is

LCM of Numerators i.e. for 74,23,524 is 445924

GCF of denominators i.e. for 210,861,294 is 21.

Thus, LCM of Fractions is 445924/21.Finally, LCM of Fractions for 74/210, 23/861, 524/294 is 445924/21.