Least Common Multiple of 4236/705, 1228/2157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4236/705, 1228/2157 quickly i.e. 433484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4236/705, 1228/2157 is 433484.

LCM(4236/705, 1228/2157) = 433484

LCM of 4236/705, 1228/2157

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 4236/705,1228/2157

Given numbers are 4236/705,1228/2157

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 4236,1228

Least Common Multiple of Numerators i.e. LCM of 4236,1228 is 1300452.

GCF of Denominators means GCF of 705,2157 as per the given fractions.

GCF of 705,2157 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4236,1228

LCM of Fractions 4236/705,1228/2157 is 433484

2 4236, 1228
2 2118, 614
1059, 307

∴ So the LCM of the given numbers is 2 x 2 x 1059 x 307 = 1300452

Least Common Multiple of 4236,1228 with GCF Formula

Least Common Multiple of 4236,1228 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 4236,1228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4236,1228) = 4

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

GCF(4236,1228) x common factors =4 x 1 = 4

LCM(4236,1228) = ( 4236 × 1228 ) / 4

LCM(4236,1228) = 5201808 / 4

LCM(4236,1228) = 1300452


Lets's calculate GCF of 705,2157

3 705, 2157
235, 719

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1300452/3

Therefore the LCM of Fractions 4236/705,1228/2157 is 433484

Greatest Common Factor of 705,2157 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,2157 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 2157

List of positive integer factors of 2157 that divides 2157 without a remainder.

1,3,719,2157

Greatest Common Factor

We found the factors 705,2157 . The biggest common factor number is the GCF number.
So the greatest common factor 705,2157 is 3.


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 4236/705, 1228/2157

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 4236/705, 1228/2157?

Answer: LCM of Numerators as per given numbers 4236/705, 1228/2157 is

LCM of Numerators i.e. for 4236,1228 is 1300452

GCF of denominators i.e. for 705,2157 is 3.

Thus, LCM of Fractions is 433484.Finally, LCM of Fractions for 4236/705, 1228/2157 is 433484.