Least Common Multiple of 42/847, 35/219, 359/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/847, 35/219, 359/509 quickly i.e. 75390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/847, 35/219, 359/509 is 75390.

LCM(42/847, 35/219, 359/509) = 75390

LCM of 42/847, 35/219, 359/509

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 42/847,35/219,359/509

Given numbers are 42/847,35/219,359/509

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 42,35,359

Least Common Multiple of Numerators i.e. LCM of 42,35,359 is 75390.

GCF of Denominators means GCF of 847,219,509 as per the given fractions.

GCF of 847,219,509 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,35,359

LCM of Fractions 42/847,35/219,359/509 is 75390

7 42, 35, 359
6, 5, 359

∴ So the LCM of the given numbers is 7 x 6 x 5 x 359 = 75390

Least Common Multiple of 42,35,359 with GCF Formula

Least Common Multiple of 42,35,359 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 42,35,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,35,359) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(42,35,359) x common factors =1 x 7 = 7

LCM(42,35,359) = ( 42 × 35 × 359 ) / 7

LCM(42,35,359) = 527730 / 7

LCM(42,35,359) = 75390


Lets's calculate GCF of 847,219,509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75390/1

Therefore the LCM of Fractions 42/847,35/219,359/509 is 75390

Greatest Common Factor of 847,219,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 847,219,509 By Matching Biggest Common Factor Method

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Greatest Common Factor

We found the factors 847,219,509 . The biggest common factor number is the GCF number.
So the greatest common factor 847,219,509 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 42/847, 35/219, 359/509

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 42/847, 35/219, 359/509?

Answer: LCM of Numerators as per given numbers 42/847, 35/219, 359/509 is

LCM of Numerators i.e. for 42,35,359 is 75390

GCF of denominators i.e. for 847,219,509 is 1.

Thus, LCM of Fractions is 75390.Finally, LCM of Fractions for 42/847, 35/219, 359/509 is 75390.