Least Common Multiple of 9634/370, 1072/1824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9634/370, 1072/1824 quickly i.e. 2581912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9634/370, 1072/1824 is 2581912.

LCM(9634/370, 1072/1824) = 2581912

LCM of 9634/370, 1072/1824

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 9634/370,1072/1824

Given numbers are 9634/370,1072/1824

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 9634,1072

Least Common Multiple of Numerators i.e. LCM of 9634,1072 is 5163824.

GCF of Denominators means GCF of 370,1824 as per the given fractions.

GCF of 370,1824 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9634,1072

LCM of Fractions 9634/370,1072/1824 is 2581912

2 9634, 1072
4817, 536

∴ So the LCM of the given numbers is 2 x 4817 x 536 = 5163824

Least Common Multiple of 9634,1072 with GCF Formula

Least Common Multiple of 9634,1072 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 9634,1072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9634,1072) = 2

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

GCF(9634,1072) x common factors =2 x 1 = 2

LCM(9634,1072) = ( 9634 × 1072 ) / 2

LCM(9634,1072) = 10327648 / 2

LCM(9634,1072) = 5163824


Lets's calculate GCF of 370,1824

2 370, 1824
185, 912

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5163824/2

Therefore the LCM of Fractions 9634/370,1072/1824 is 2581912

Greatest Common Factor of 370,1824 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,1824 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 1824

List of positive integer factors of 1824 that divides 1824 without a remainder.

1,2,3,4,6,8,12,16,19,24,32,38,48,57,76,96,114,152,228,304,456,608,912,1824

Greatest Common Factor

We found the factors 370,1824 . The biggest common factor number is the GCF number.
So the greatest common factor 370,1824 is 2.


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 9634/370, 1072/1824

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 9634/370, 1072/1824?

Answer: LCM of Numerators as per given numbers 9634/370, 1072/1824 is

LCM of Numerators i.e. for 9634,1072 is 5163824

GCF of denominators i.e. for 370,1824 is 2.

Thus, LCM of Fractions is 2581912.Finally, LCM of Fractions for 9634/370, 1072/1824 is 2581912.