Least Common Multiple of 42/359, 570/322, 694/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/359, 570/322, 694/113 quickly i.e. 1384530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/359, 570/322, 694/113 is 1384530.

LCM(42/359, 570/322, 694/113) = 1384530

LCM of 42/359, 570/322, 694/113

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 42/359,570/322,694/113

Given numbers are 42/359,570/322,694/113

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 42,570,694

Least Common Multiple of Numerators i.e. LCM of 42,570,694 is 1384530.

GCF of Denominators means GCF of 359,322,113 as per the given fractions.

GCF of 359,322,113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,570,694

LCM of Fractions 42/359,570/322,694/113 is 1384530

2 42, 570, 694
3 21, 285, 347
7, 95, 347

∴ So the LCM of the given numbers is 2 x 3 x 7 x 95 x 347 = 1384530

Least Common Multiple of 42,570,694 with GCF Formula

Least Common Multiple of 42,570,694 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 42,570,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,570,694) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(42,570,694) x common factors =2 x 6 = 12

LCM(42,570,694) = ( 42 × 570 × 694 ) / 12

LCM(42,570,694) = 16614360 / 12

LCM(42,570,694) = 1384530


Lets's calculate GCF of 359,322,113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1384530/1

Therefore the LCM of Fractions 42/359,570/322,694/113 is 1384530

Greatest Common Factor of 359,322,113 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,322,113 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Greatest Common Factor

We found the factors 359,322,113 . The biggest common factor number is the GCF number.
So the greatest common factor 359,322,113 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 42/359, 570/322, 694/113

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 42/359, 570/322, 694/113?

Answer: LCM of Numerators as per given numbers 42/359, 570/322, 694/113 is

LCM of Numerators i.e. for 42,570,694 is 1384530

GCF of denominators i.e. for 359,322,113 is 1.

Thus, LCM of Fractions is 1384530.Finally, LCM of Fractions for 42/359, 570/322, 694/113 is 1384530.