Least Common Multiple of 70/487, 35/189, 359/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/487, 35/189, 359/336 quickly i.e. 25130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/487, 35/189, 359/336 is 25130.

LCM(70/487, 35/189, 359/336) = 25130

LCM of 70/487, 35/189, 359/336

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 70/487,35/189,359/336

Given numbers are 70/487,35/189,359/336

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 70,35,359

Least Common Multiple of Numerators i.e. LCM of 70,35,359 is 25130.

GCF of Denominators means GCF of 487,189,336 as per the given fractions.

GCF of 487,189,336 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,35,359

LCM of Fractions 70/487,35/189,359/336 is 25130

5 70, 35, 359
7 14, 7, 359
2, 1, 359

∴ So the LCM of the given numbers is 5 x 7 x 2 x 1 x 359 = 25130

Least Common Multiple of 70,35,359 with GCF Formula

Least Common Multiple of 70,35,359 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 70,35,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,35,359) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(70,35,359) x common factors =1 x 35 = 35

LCM(70,35,359) = ( 70 × 35 × 359 ) / 35

LCM(70,35,359) = 879550 / 35

LCM(70,35,359) = 25130


Lets's calculate GCF of 487,189,336

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25130/1

Therefore the LCM of Fractions 70/487,35/189,359/336 is 25130

Greatest Common Factor of 487,189,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,189,336 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 487,189,336 . The biggest common factor number is the GCF number.
So the greatest common factor 487,189,336 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 70/487, 35/189, 359/336

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 70/487, 35/189, 359/336?

Answer: LCM of Numerators as per given numbers 70/487, 35/189, 359/336 is

LCM of Numerators i.e. for 70,35,359 is 25130

GCF of denominators i.e. for 487,189,336 is 1.

Thus, LCM of Fractions is 25130.Finally, LCM of Fractions for 70/487, 35/189, 359/336 is 25130.