Least Common Multiple of 74/334, 23/676, 460/636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/334, 23/676, 460/636 quickly i.e. 8510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/334, 23/676, 460/636 is 8510.

LCM(74/334, 23/676, 460/636) = 8510

LCM of 74/334, 23/676, 460/636

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 74/334,23/676,460/636

Given numbers are 74/334,23/676,460/636

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 74,23,460

Least Common Multiple of Numerators i.e. LCM of 74,23,460 is 17020.

GCF of Denominators means GCF of 334,676,636 as per the given fractions.

GCF of 334,676,636 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,23,460

LCM of Fractions 74/334,23/676,460/636 is 8510

2 74, 23, 460
23 37, 23, 230
37, 1, 10

∴ So the LCM of the given numbers is 2 x 23 x 37 x 1 x 10 = 17020

Least Common Multiple of 74,23,460 with GCF Formula

Least Common Multiple of 74,23,460 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 74,23,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,23,460) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(74,23,460) x common factors =1 x 46 = 46

LCM(74,23,460) = ( 74 × 23 × 460 ) / 46

LCM(74,23,460) = 782920 / 46

LCM(74,23,460) = 17020


Lets's calculate GCF of 334,676,636

2 334, 676, 636
167, 338, 318

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17020/2

Therefore the LCM of Fractions 74/334,23/676,460/636 is 8510

Greatest Common Factor of 334,676,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,676,636 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 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 334,676,636 . The biggest common factor number is the GCF number.
So the greatest common factor 334,676,636 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 74/334, 23/676, 460/636

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 74/334, 23/676, 460/636?

Answer: LCM of Numerators as per given numbers 74/334, 23/676, 460/636 is

LCM of Numerators i.e. for 74,23,460 is 17020

GCF of denominators i.e. for 334,676,636 is 2.

Thus, LCM of Fractions is 8510.Finally, LCM of Fractions for 74/334, 23/676, 460/636 is 8510.