Least Common Multiple of 5657/465, 7208/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5657/465, 7208/930 quickly i.e. 40775656/465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5657/465, 7208/930 is 40775656/465.

LCM(5657/465, 7208/930) = 40775656/465

LCM of 5657/465, 7208/930

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 5657/465,7208/930

Given numbers are 5657/465,7208/930

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 5657,7208

Least Common Multiple of Numerators i.e. LCM of 5657,7208 is 40775656.

GCF of Denominators means GCF of 465,930 as per the given fractions.

GCF of 465,930 is 465 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5657,7208

LCM of Fractions 5657/465,7208/930 is 40775656/465

Given numbers has no common factors except 1. So, there LCM is their product i.e 40775656

Least Common Multiple of 5657,7208 with GCF Formula

Least Common Multiple of 5657,7208 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 5657,7208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5657,7208) = 1

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

GCF(5657,7208) x common factors =1 x 1 = 1

LCM(5657,7208) = ( 5657 × 7208 ) / 1

LCM(5657,7208) = 40775656 / 1

LCM(5657,7208) = 40775656


Lets's calculate GCF of 465,930

3 465, 930
5 155, 310
31 31, 62
1, 2

∴ So the GCF of the given numbers is 3 x 5 x 31 = 465

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40775656/465

Therefore the LCM of Fractions 5657/465,7208/930 is 40775656/465

Greatest Common Factor of 465,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,930 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 465,930 . The biggest common factor number is the GCF number.
So the greatest common factor 465,930 is 465.


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 5657/465, 7208/930

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 5657/465, 7208/930?

Answer: LCM of Numerators as per given numbers 5657/465, 7208/930 is

LCM of Numerators i.e. for 5657,7208 is 40775656

GCF of denominators i.e. for 465,930 is 465.

Thus, LCM of Fractions is 40775656/465.Finally, LCM of Fractions for 5657/465, 7208/930 is 40775656/465.