Least Common Multiple of 4302/899, 3152/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4302/899, 3152/961 quickly i.e. 6779952/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4302/899, 3152/961 is 6779952/31.

LCM(4302/899, 3152/961) = 6779952/31

LCM of 4302/899, 3152/961

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 4302/899,3152/961

Given numbers are 4302/899,3152/961

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 4302,3152

Least Common Multiple of Numerators i.e. LCM of 4302,3152 is 6779952.

GCF of Denominators means GCF of 899,961 as per the given fractions.

GCF of 899,961 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4302,3152

LCM of Fractions 4302/899,3152/961 is 6779952/31

2 4302, 3152
2151, 1576

∴ So the LCM of the given numbers is 2 x 2151 x 1576 = 6779952

Least Common Multiple of 4302,3152 with GCF Formula

Least Common Multiple of 4302,3152 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 4302,3152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4302,3152) = 2

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

GCF(4302,3152) x common factors =2 x 1 = 2

LCM(4302,3152) = ( 4302 × 3152 ) / 2

LCM(4302,3152) = 13559904 / 2

LCM(4302,3152) = 6779952


Lets's calculate GCF of 899,961

31 899, 961
29, 31

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6779952/31

Therefore the LCM of Fractions 4302/899,3152/961 is 6779952/31

Greatest Common Factor of 899,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,961 By Matching Biggest Common Factor Method

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 899,961 . The biggest common factor number is the GCF number.
So the greatest common factor 899,961 is 31.


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 4302/899, 3152/961

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 4302/899, 3152/961?

Answer: LCM of Numerators as per given numbers 4302/899, 3152/961 is

LCM of Numerators i.e. for 4302,3152 is 6779952

GCF of denominators i.e. for 899,961 is 31.

Thus, LCM of Fractions is 6779952/31.Finally, LCM of Fractions for 4302/899, 3152/961 is 6779952/31.