Least Common Multiple of 425/912, 2828/4167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 425/912, 2828/4167 quickly i.e. 1201900/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 425/912, 2828/4167 is 1201900/3.

LCM(425/912, 2828/4167) = 1201900/3

LCM of 425/912, 2828/4167

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 425/912,2828/4167

Given numbers are 425/912,2828/4167

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 425,2828

Least Common Multiple of Numerators i.e. LCM of 425,2828 is 1201900.

GCF of Denominators means GCF of 912,4167 as per the given fractions.

GCF of 912,4167 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 425,2828

LCM of Fractions 425/912,2828/4167 is 1201900/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 1201900

Least Common Multiple of 425,2828 with GCF Formula

Least Common Multiple of 425,2828 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 425,2828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,2828) = 1

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

GCF(425,2828) x common factors =1 x 1 = 1

LCM(425,2828) = ( 425 × 2828 ) / 1

LCM(425,2828) = 1201900 / 1

LCM(425,2828) = 1201900


Lets's calculate GCF of 912,4167

3 912, 4167
304, 1389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1201900/3

Therefore the LCM of Fractions 425/912,2828/4167 is 1201900/3

Greatest Common Factor of 912,4167 By Matching Biggest Common Factor Method

Greatest Common Factor of 912,4167 By Matching Biggest Common Factor Method

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 4167

List of positive integer factors of 4167 that divides 4167 without a remainder.

1,3,9,463,1389,4167

Greatest Common Factor

We found the factors 912,4167 . The biggest common factor number is the GCF number.
So the greatest common factor 912,4167 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 425/912, 2828/4167

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 425/912, 2828/4167?

Answer: LCM of Numerators as per given numbers 425/912, 2828/4167 is

LCM of Numerators i.e. for 425,2828 is 1201900

GCF of denominators i.e. for 912,4167 is 3.

Thus, LCM of Fractions is 1201900/3.Finally, LCM of Fractions for 425/912, 2828/4167 is 1201900/3.