Least Common Multiple of 7467/232, 6905/5456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7467/232, 6905/5456 quickly i.e. 51559635/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7467/232, 6905/5456 is 51559635/8.

LCM(7467/232, 6905/5456) = 51559635/8

LCM of 7467/232, 6905/5456

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 7467/232,6905/5456

Given numbers are 7467/232,6905/5456

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 7467,6905

Least Common Multiple of Numerators i.e. LCM of 7467,6905 is 51559635.

GCF of Denominators means GCF of 232,5456 as per the given fractions.

GCF of 232,5456 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7467,6905

LCM of Fractions 7467/232,6905/5456 is 51559635/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 51559635

Least Common Multiple of 7467,6905 with GCF Formula

Least Common Multiple of 7467,6905 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 7467,6905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7467,6905) = 1

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

GCF(7467,6905) x common factors =1 x 1 = 1

LCM(7467,6905) = ( 7467 × 6905 ) / 1

LCM(7467,6905) = 51559635 / 1

LCM(7467,6905) = 51559635


Lets's calculate GCF of 232,5456

2 232, 5456
2 116, 2728
2 58, 1364
29, 682

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51559635/8

Therefore the LCM of Fractions 7467/232,6905/5456 is 51559635/8

Greatest Common Factor of 232,5456 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,5456 By Matching Biggest Common Factor Method

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 5456

List of positive integer factors of 5456 that divides 5456 without a remainder.

1,2,4,8,11,16,22,31,44,62,88,124,176,248,341,496,682,1364,2728,5456

Greatest Common Factor

We found the factors 232,5456 . The biggest common factor number is the GCF number.
So the greatest common factor 232,5456 is 8.


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 7467/232, 6905/5456

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 7467/232, 6905/5456?

Answer: LCM of Numerators as per given numbers 7467/232, 6905/5456 is

LCM of Numerators i.e. for 7467,6905 is 51559635

GCF of denominators i.e. for 232,5456 is 8.

Thus, LCM of Fractions is 51559635/8.Finally, LCM of Fractions for 7467/232, 6905/5456 is 51559635/8.