Least Common Multiple of 1147/832, 7245/4416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1147/832, 7245/4416 quickly i.e. 8310015/64 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1147/832, 7245/4416 is 8310015/64.

LCM(1147/832, 7245/4416) = 8310015/64

LCM of 1147/832, 7245/4416

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 1147/832,7245/4416

Given numbers are 1147/832,7245/4416

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 1147,7245

Least Common Multiple of Numerators i.e. LCM of 1147,7245 is 8310015.

GCF of Denominators means GCF of 832,4416 as per the given fractions.

GCF of 832,4416 is 64 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1147,7245

LCM of Fractions 1147/832,7245/4416 is 8310015/64

Given numbers has no common factors except 1. So, there LCM is their product i.e 8310015

Least Common Multiple of 1147,7245 with GCF Formula

Least Common Multiple of 1147,7245 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 1147,7245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1147,7245) = 1

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

GCF(1147,7245) x common factors =1 x 1 = 1

LCM(1147,7245) = ( 1147 × 7245 ) / 1

LCM(1147,7245) = 8310015 / 1

LCM(1147,7245) = 8310015


Lets's calculate GCF of 832,4416

2 832, 4416
2 416, 2208
2 208, 1104
2 104, 552
2 52, 276
2 26, 138
13, 69

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8310015/64

Therefore the LCM of Fractions 1147/832,7245/4416 is 8310015/64

Greatest Common Factor of 832,4416 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,4416 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 4416

List of positive integer factors of 4416 that divides 4416 without a remainder.

1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,138,184,192,276,368,552,736,1104,1472,2208,4416

Greatest Common Factor

We found the factors 832,4416 . The biggest common factor number is the GCF number.
So the greatest common factor 832,4416 is 64.


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 1147/832, 7245/4416

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 1147/832, 7245/4416?

Answer: LCM of Numerators as per given numbers 1147/832, 7245/4416 is

LCM of Numerators i.e. for 1147,7245 is 8310015

GCF of denominators i.e. for 832,4416 is 64.

Thus, LCM of Fractions is 8310015/64.Finally, LCM of Fractions for 1147/832, 7245/4416 is 8310015/64.