Least Common Multiple of 43/628, 3697/5212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/628, 3697/5212 quickly i.e. 158971/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/628, 3697/5212 is 158971/4.

LCM(43/628, 3697/5212) = 158971/4

LCM of 43/628, 3697/5212

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 43/628,3697/5212

Given numbers are 43/628,3697/5212

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 43,3697

Least Common Multiple of Numerators i.e. LCM of 43,3697 is 158971.

GCF of Denominators means GCF of 628,5212 as per the given fractions.

GCF of 628,5212 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,3697

LCM of Fractions 43/628,3697/5212 is 158971/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 158971

Least Common Multiple of 43,3697 with GCF Formula

Least Common Multiple of 43,3697 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 43,3697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,3697) = 1

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

GCF(43,3697) x common factors =1 x 1 = 1

LCM(43,3697) = ( 43 × 3697 ) / 1

LCM(43,3697) = 158971 / 1

LCM(43,3697) = 158971


Lets's calculate GCF of 628,5212

2 628, 5212
2 314, 2606
157, 1303

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158971/4

Therefore the LCM of Fractions 43/628,3697/5212 is 158971/4

Greatest Common Factor of 628,5212 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,5212 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 5212

List of positive integer factors of 5212 that divides 5212 without a remainder.

1,2,4,1303,2606,5212

Greatest Common Factor

We found the factors 628,5212 . The biggest common factor number is the GCF number.
So the greatest common factor 628,5212 is 4.


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 43/628, 3697/5212

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 43/628, 3697/5212?

Answer: LCM of Numerators as per given numbers 43/628, 3697/5212 is

LCM of Numerators i.e. for 43,3697 is 158971

GCF of denominators i.e. for 628,5212 is 4.

Thus, LCM of Fractions is 158971/4.Finally, LCM of Fractions for 43/628, 3697/5212 is 158971/4.