Least Common Multiple of 359/47, 420/6190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 359/47, 420/6190 quickly i.e. 150780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 359/47, 420/6190 is 150780.

LCM(359/47, 420/6190) = 150780

LCM of 359/47, 420/6190

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 359/47,420/6190

Given numbers are 359/47,420/6190

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 359,420

Least Common Multiple of Numerators i.e. LCM of 359,420 is 150780.

GCF of Denominators means GCF of 47,6190 as per the given fractions.

GCF of 47,6190 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 359,420

LCM of Fractions 359/47,420/6190 is 150780

Given numbers has no common factors except 1. So, there LCM is their product i.e 150780

Least Common Multiple of 359,420 with GCF Formula

Least Common Multiple of 359,420 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 359,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,420) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(359,420) x common factors =1 x 1 = 1

LCM(359,420) = ( 359 × 420 ) / 1

LCM(359,420) = 150780 / 1

LCM(359,420) = 150780


Lets's calculate GCF of 47,6190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150780/1

Therefore the LCM of Fractions 359/47,420/6190 is 150780

Greatest Common Factor of 47,6190 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,6190 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 6190

List of positive integer factors of 6190 that divides 6190 without a remainder.

1,2,5,10,619,1238,3095,6190

Greatest Common Factor

We found the factors 47,6190 . The biggest common factor number is the GCF number.
So the greatest common factor 47,6190 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 359/47, 420/6190

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 359/47, 420/6190?

Answer: LCM of Numerators as per given numbers 359/47, 420/6190 is

LCM of Numerators i.e. for 359,420 is 150780

GCF of denominators i.e. for 47,6190 is 1.

Thus, LCM of Fractions is 150780.Finally, LCM of Fractions for 359/47, 420/6190 is 150780.