Least Common Multiple of 74/853, 284/264, 610/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/853, 284/264, 610/437 quickly i.e. 3204940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/853, 284/264, 610/437 is 3204940.

LCM(74/853, 284/264, 610/437) = 3204940

LCM of 74/853, 284/264, 610/437

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 74/853,284/264,610/437

Given numbers are 74/853,284/264,610/437

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 74,284,610

Least Common Multiple of Numerators i.e. LCM of 74,284,610 is 3204940.

GCF of Denominators means GCF of 853,264,437 as per the given fractions.

GCF of 853,264,437 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,284,610

LCM of Fractions 74/853,284/264,610/437 is 3204940

2 74, 284, 610
37, 142, 305

∴ So the LCM of the given numbers is 2 x 37 x 142 x 305 = 3204940

Least Common Multiple of 74,284,610 with GCF Formula

Least Common Multiple of 74,284,610 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 74,284,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,284,610) = 2

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

GCF(74,284,610) x common factors =2 x 2 = 4

LCM(74,284,610) = ( 74 × 284 × 610 ) / 4

LCM(74,284,610) = 12819760 / 4

LCM(74,284,610) = 3204940


Lets's calculate GCF of 853,264,437

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3204940/1

Therefore the LCM of Fractions 74/853,284/264,610/437 is 3204940

Greatest Common Factor of 853,264,437 By Matching Biggest Common Factor Method

Greatest Common Factor of 853,264,437 By Matching Biggest Common Factor Method

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Greatest Common Factor

We found the factors 853,264,437 . The biggest common factor number is the GCF number.
So the greatest common factor 853,264,437 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 74/853, 284/264, 610/437

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 74/853, 284/264, 610/437?

Answer: LCM of Numerators as per given numbers 74/853, 284/264, 610/437 is

LCM of Numerators i.e. for 74,284,610 is 3204940

GCF of denominators i.e. for 853,264,437 is 1.

Thus, LCM of Fractions is 3204940.Finally, LCM of Fractions for 74/853, 284/264, 610/437 is 3204940.