Least Common Multiple of 42/79, 740/85, 194/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/79, 740/85, 194/320 quickly i.e. 1507380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/79, 740/85, 194/320 is 1507380.

LCM(42/79, 740/85, 194/320) = 1507380

LCM of 42/79, 740/85, 194/320

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 42/79,740/85,194/320

Given numbers are 42/79,740/85,194/320

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 42,740,194

Least Common Multiple of Numerators i.e. LCM of 42,740,194 is 1507380.

GCF of Denominators means GCF of 79,85,320 as per the given fractions.

GCF of 79,85,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,740,194

LCM of Fractions 42/79,740/85,194/320 is 1507380

2 42, 740, 194
21, 370, 97

∴ So the LCM of the given numbers is 2 x 21 x 370 x 97 = 1507380

Least Common Multiple of 42,740,194 with GCF Formula

Least Common Multiple of 42,740,194 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 42,740,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,740,194) = 2

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

GCF(42,740,194) x common factors =2 x 2 = 4

LCM(42,740,194) = ( 42 × 740 × 194 ) / 4

LCM(42,740,194) = 6029520 / 4

LCM(42,740,194) = 1507380


Lets's calculate GCF of 79,85,320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1507380/1

Therefore the LCM of Fractions 42/79,740/85,194/320 is 1507380

Greatest Common Factor of 79,85,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,85,320 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 79,85,320 . The biggest common factor number is the GCF number.
So the greatest common factor 79,85,320 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 42/79, 740/85, 194/320

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 42/79, 740/85, 194/320?

Answer: LCM of Numerators as per given numbers 42/79, 740/85, 194/320 is

LCM of Numerators i.e. for 42,740,194 is 1507380

GCF of denominators i.e. for 79,85,320 is 1.

Thus, LCM of Fractions is 1507380.Finally, LCM of Fractions for 42/79, 740/85, 194/320 is 1507380.