Least Common Multiple of 74/561, 79/110, 210/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/561, 79/110, 210/123 quickly i.e. 613830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/561, 79/110, 210/123 is 613830.

LCM(74/561, 79/110, 210/123) = 613830

LCM of 74/561, 79/110, 210/123

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 74/561,79/110,210/123

Given numbers are 74/561,79/110,210/123

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 74,79,210

Least Common Multiple of Numerators i.e. LCM of 74,79,210 is 613830.

GCF of Denominators means GCF of 561,110,123 as per the given fractions.

GCF of 561,110,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,79,210

LCM of Fractions 74/561,79/110,210/123 is 613830

2 74, 79, 210
37, 79, 105

∴ So the LCM of the given numbers is 2 x 37 x 79 x 105 = 613830

Least Common Multiple of 74,79,210 with GCF Formula

Least Common Multiple of 74,79,210 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 74,79,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,79,210) = 1

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

GCF(74,79,210) x common factors =1 x 2 = 2

LCM(74,79,210) = ( 74 × 79 × 210 ) / 2

LCM(74,79,210) = 1227660 / 2

LCM(74,79,210) = 613830


Lets's calculate GCF of 561,110,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 613830/1

Therefore the LCM of Fractions 74/561,79/110,210/123 is 613830

Greatest Common Factor of 561,110,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,110,123 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 561,110,123 . The biggest common factor number is the GCF number.
So the greatest common factor 561,110,123 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 74/561, 79/110, 210/123

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 74/561, 79/110, 210/123?

Answer: LCM of Numerators as per given numbers 74/561, 79/110, 210/123 is

LCM of Numerators i.e. for 74,79,210 is 613830

GCF of denominators i.e. for 561,110,123 is 1.

Thus, LCM of Fractions is 613830.Finally, LCM of Fractions for 74/561, 79/110, 210/123 is 613830.