Least Common Multiple of 563/149, 4001/9152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 563/149, 4001/9152 quickly i.e. 2252563 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 563/149, 4001/9152 is 2252563.

LCM(563/149, 4001/9152) = 2252563

LCM of 563/149, 4001/9152

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 563/149,4001/9152

Given numbers are 563/149,4001/9152

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 563,4001

Least Common Multiple of Numerators i.e. LCM of 563,4001 is 2252563.

GCF of Denominators means GCF of 149,9152 as per the given fractions.

GCF of 149,9152 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 563,4001

LCM of Fractions 563/149,4001/9152 is 2252563

Given numbers has no common factors except 1. So, there LCM is their product i.e 2252563

Least Common Multiple of 563,4001 with GCF Formula

Least Common Multiple of 563,4001 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 563,4001 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,4001) = 1

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

GCF(563,4001) x common factors =1 x 1 = 1

LCM(563,4001) = ( 563 × 4001 ) / 1

LCM(563,4001) = 2252563 / 1

LCM(563,4001) = 2252563


Lets's calculate GCF of 149,9152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2252563/1

Therefore the LCM of Fractions 563/149,4001/9152 is 2252563

Greatest Common Factor of 149,9152 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,9152 By Matching Biggest Common Factor Method

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 9152

List of positive integer factors of 9152 that divides 9152 without a remainder.

1,2,4,8,11,13,16,22,26,32,44,52,64,88,104,143,176,208,286,352,416,572,704,832,1144,2288,4576,9152

Greatest Common Factor

We found the factors 149,9152 . The biggest common factor number is the GCF number.
So the greatest common factor 149,9152 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 563/149, 4001/9152

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 563/149, 4001/9152?

Answer: LCM of Numerators as per given numbers 563/149, 4001/9152 is

LCM of Numerators i.e. for 563,4001 is 2252563

GCF of denominators i.e. for 149,9152 is 1.

Thus, LCM of Fractions is 2252563.Finally, LCM of Fractions for 563/149, 4001/9152 is 2252563.