Least Common Multiple of 42/364, 914/260, 194/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/364, 914/260, 194/721 quickly i.e. 1861818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/364, 914/260, 194/721 is 1861818.

LCM(42/364, 914/260, 194/721) = 1861818

LCM of 42/364, 914/260, 194/721

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 42/364,914/260,194/721

Given numbers are 42/364,914/260,194/721

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 42,914,194

Least Common Multiple of Numerators i.e. LCM of 42,914,194 is 1861818.

GCF of Denominators means GCF of 364,260,721 as per the given fractions.

GCF of 364,260,721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,914,194

LCM of Fractions 42/364,914/260,194/721 is 1861818

2 42, 914, 194
21, 457, 97

∴ So the LCM of the given numbers is 2 x 21 x 457 x 97 = 1861818

Least Common Multiple of 42,914,194 with GCF Formula

Least Common Multiple of 42,914,194 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 42,914,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,914,194) = 2

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

GCF(42,914,194) x common factors =2 x 2 = 4

LCM(42,914,194) = ( 42 × 914 × 194 ) / 4

LCM(42,914,194) = 7447272 / 4

LCM(42,914,194) = 1861818


Lets's calculate GCF of 364,260,721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1861818/1

Therefore the LCM of Fractions 42/364,914/260,194/721 is 1861818

Greatest Common Factor of 364,260,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,260,721 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 364,260,721 . The biggest common factor number is the GCF number.
So the greatest common factor 364,260,721 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 42/364, 914/260, 194/721

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 42/364, 914/260, 194/721?

Answer: LCM of Numerators as per given numbers 42/364, 914/260, 194/721 is

LCM of Numerators i.e. for 42,914,194 is 1861818

GCF of denominators i.e. for 364,260,721 is 1.

Thus, LCM of Fractions is 1861818.Finally, LCM of Fractions for 42/364, 914/260, 194/721 is 1861818.