Least Common Multiple of 60/36, 344/66, 740/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/36, 344/66, 740/460 quickly i.e. 95460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/36, 344/66, 740/460 is 95460.

LCM(60/36, 344/66, 740/460) = 95460

LCM of 60/36, 344/66, 740/460

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 60/36,344/66,740/460

Given numbers are 60/36,344/66,740/460

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 60,344,740

Least Common Multiple of Numerators i.e. LCM of 60,344,740 is 190920.

GCF of Denominators means GCF of 36,66,460 as per the given fractions.

GCF of 36,66,460 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,344,740

LCM of Fractions 60/36,344/66,740/460 is 95460

2 60, 344, 740
2 30, 172, 370
5 15, 86, 185
3, 86, 37

∴ So the LCM of the given numbers is 2 x 2 x 5 x 3 x 86 x 37 = 190920

Least Common Multiple of 60,344,740 with GCF Formula

Least Common Multiple of 60,344,740 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 60,344,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,344,740) = 4

common factors(in case of two or more numbers have common factors) = 20

GCF(60,344,740) x common factors =4 x 20 = 80

LCM(60,344,740) = ( 60 × 344 × 740 ) / 80

LCM(60,344,740) = 15273600 / 80

LCM(60,344,740) = 190920


Lets's calculate GCF of 36,66,460

2 36, 66, 460
18, 33, 230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190920/2

Therefore the LCM of Fractions 60/36,344/66,740/460 is 95460

Greatest Common Factor of 36,66,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,66,460 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 36,66,460 . The biggest common factor number is the GCF number.
So the greatest common factor 36,66,460 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 60/36, 344/66, 740/460

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 60/36, 344/66, 740/460?

Answer: LCM of Numerators as per given numbers 60/36, 344/66, 740/460 is

LCM of Numerators i.e. for 60,344,740 is 190920

GCF of denominators i.e. for 36,66,460 is 2.

Thus, LCM of Fractions is 95460.Finally, LCM of Fractions for 60/36, 344/66, 740/460 is 95460.