Least Common Multiple of 8459/952, 7223/9328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8459/952, 7223/9328 quickly i.e. 61099357/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8459/952, 7223/9328 is 61099357/8.

LCM(8459/952, 7223/9328) = 61099357/8

LCM of 8459/952, 7223/9328

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 8459/952,7223/9328

Given numbers are 8459/952,7223/9328

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 8459,7223

Least Common Multiple of Numerators i.e. LCM of 8459,7223 is 61099357.

GCF of Denominators means GCF of 952,9328 as per the given fractions.

GCF of 952,9328 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8459,7223

LCM of Fractions 8459/952,7223/9328 is 61099357/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 61099357

Least Common Multiple of 8459,7223 with GCF Formula

Least Common Multiple of 8459,7223 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 8459,7223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8459,7223) = 1

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

GCF(8459,7223) x common factors =1 x 1 = 1

LCM(8459,7223) = ( 8459 × 7223 ) / 1

LCM(8459,7223) = 61099357 / 1

LCM(8459,7223) = 61099357


Lets's calculate GCF of 952,9328

2 952, 9328
2 476, 4664
2 238, 2332
119, 1166

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61099357/8

Therefore the LCM of Fractions 8459/952,7223/9328 is 61099357/8

Greatest Common Factor of 952,9328 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,9328 By Matching Biggest Common Factor Method

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 9328

List of positive integer factors of 9328 that divides 9328 without a remainder.

1,2,4,8,11,16,22,44,53,88,106,176,212,424,583,848,1166,2332,4664,9328

Greatest Common Factor

We found the factors 952,9328 . The biggest common factor number is the GCF number.
So the greatest common factor 952,9328 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 8459/952, 7223/9328

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 8459/952, 7223/9328?

Answer: LCM of Numerators as per given numbers 8459/952, 7223/9328 is

LCM of Numerators i.e. for 8459,7223 is 61099357

GCF of denominators i.e. for 952,9328 is 8.

Thus, LCM of Fractions is 61099357/8.Finally, LCM of Fractions for 8459/952, 7223/9328 is 61099357/8.