Least Common Multiple of 384/370, 1567/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/370, 1567/147 quickly i.e. 601728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/370, 1567/147 is 601728.

LCM(384/370, 1567/147) = 601728

LCM of 384/370, 1567/147

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 384/370,1567/147

Given numbers are 384/370,1567/147

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 384,1567

Least Common Multiple of Numerators i.e. LCM of 384,1567 is 601728.

GCF of Denominators means GCF of 370,147 as per the given fractions.

GCF of 370,147 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,1567

LCM of Fractions 384/370,1567/147 is 601728

Given numbers has no common factors except 1. So, there LCM is their product i.e 601728

Least Common Multiple of 384,1567 with GCF Formula

Least Common Multiple of 384,1567 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 384,1567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,1567) = 1

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

GCF(384,1567) x common factors =1 x 1 = 1

LCM(384,1567) = ( 384 × 1567 ) / 1

LCM(384,1567) = 601728 / 1

LCM(384,1567) = 601728


Lets's calculate GCF of 370,147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 601728/1

Therefore the LCM of Fractions 384/370,1567/147 is 601728

Greatest Common Factor of 370,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,147 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 370,147 . The biggest common factor number is the GCF number.
So the greatest common factor 370,147 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 384/370, 1567/147

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 384/370, 1567/147?

Answer: LCM of Numerators as per given numbers 384/370, 1567/147 is

LCM of Numerators i.e. for 384,1567 is 601728

GCF of denominators i.e. for 370,147 is 1.

Thus, LCM of Fractions is 601728.Finally, LCM of Fractions for 384/370, 1567/147 is 601728.