Least Common Multiple of 7429/560, 4105/8632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7429/560, 4105/8632 quickly i.e. 30496045/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7429/560, 4105/8632 is 30496045/8.

LCM(7429/560, 4105/8632) = 30496045/8

LCM of 7429/560, 4105/8632

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 7429/560,4105/8632

Given numbers are 7429/560,4105/8632

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 7429,4105

Least Common Multiple of Numerators i.e. LCM of 7429,4105 is 30496045.

GCF of Denominators means GCF of 560,8632 as per the given fractions.

GCF of 560,8632 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7429,4105

LCM of Fractions 7429/560,4105/8632 is 30496045/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 30496045

Least Common Multiple of 7429,4105 with GCF Formula

Least Common Multiple of 7429,4105 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 7429,4105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7429,4105) = 1

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

GCF(7429,4105) x common factors =1 x 1 = 1

LCM(7429,4105) = ( 7429 × 4105 ) / 1

LCM(7429,4105) = 30496045 / 1

LCM(7429,4105) = 30496045


Lets's calculate GCF of 560,8632

2 560, 8632
2 280, 4316
2 140, 2158
70, 1079

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30496045/8

Therefore the LCM of Fractions 7429/560,4105/8632 is 30496045/8

Greatest Common Factor of 560,8632 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,8632 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 8632

List of positive integer factors of 8632 that divides 8632 without a remainder.

1,2,4,8,13,26,52,83,104,166,332,664,1079,2158,4316,8632

Greatest Common Factor

We found the factors 560,8632 . The biggest common factor number is the GCF number.
So the greatest common factor 560,8632 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 7429/560, 4105/8632

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 7429/560, 4105/8632?

Answer: LCM of Numerators as per given numbers 7429/560, 4105/8632 is

LCM of Numerators i.e. for 7429,4105 is 30496045

GCF of denominators i.e. for 560,8632 is 8.

Thus, LCM of Fractions is 30496045/8.Finally, LCM of Fractions for 7429/560, 4105/8632 is 30496045/8.