Least Common Multiple of 66/70, 937/20, 380/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/70, 937/20, 380/404 quickly i.e. 5874990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/70, 937/20, 380/404 is 5874990.

LCM(66/70, 937/20, 380/404) = 5874990

LCM of 66/70, 937/20, 380/404

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 66/70,937/20,380/404

Given numbers are 66/70,937/20,380/404

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 66,937,380

Least Common Multiple of Numerators i.e. LCM of 66,937,380 is 11749980.

GCF of Denominators means GCF of 70,20,404 as per the given fractions.

GCF of 70,20,404 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,937,380

LCM of Fractions 66/70,937/20,380/404 is 5874990

2 66, 937, 380
33, 937, 190

∴ So the LCM of the given numbers is 2 x 33 x 937 x 190 = 11749980

Least Common Multiple of 66,937,380 with GCF Formula

Least Common Multiple of 66,937,380 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 66,937,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,937,380) = 1

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

GCF(66,937,380) x common factors =1 x 2 = 2

LCM(66,937,380) = ( 66 × 937 × 380 ) / 2

LCM(66,937,380) = 23499960 / 2

LCM(66,937,380) = 11749980


Lets's calculate GCF of 70,20,404

2 70, 20, 404
35, 10, 202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11749980/2

Therefore the LCM of Fractions 66/70,937/20,380/404 is 5874990

Greatest Common Factor of 70,20,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,20,404 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 70,20,404 . The biggest common factor number is the GCF number.
So the greatest common factor 70,20,404 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 66/70, 937/20, 380/404

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 66/70, 937/20, 380/404?

Answer: LCM of Numerators as per given numbers 66/70, 937/20, 380/404 is

LCM of Numerators i.e. for 66,937,380 is 11749980

GCF of denominators i.e. for 70,20,404 is 2.

Thus, LCM of Fractions is 5874990.Finally, LCM of Fractions for 66/70, 937/20, 380/404 is 5874990.