Least Common Multiple of 4378/812, 7669/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4378/812, 7669/875 quickly i.e. 33574882/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4378/812, 7669/875 is 33574882/7.

LCM(4378/812, 7669/875) = 33574882/7

LCM of 4378/812, 7669/875

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 4378/812,7669/875

Given numbers are 4378/812,7669/875

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 4378,7669

Least Common Multiple of Numerators i.e. LCM of 4378,7669 is 33574882.

GCF of Denominators means GCF of 812,875 as per the given fractions.

GCF of 812,875 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4378,7669

LCM of Fractions 4378/812,7669/875 is 33574882/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 33574882

Least Common Multiple of 4378,7669 with GCF Formula

Least Common Multiple of 4378,7669 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 4378,7669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4378,7669) = 1

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

GCF(4378,7669) x common factors =1 x 1 = 1

LCM(4378,7669) = ( 4378 × 7669 ) / 1

LCM(4378,7669) = 33574882 / 1

LCM(4378,7669) = 33574882


Lets's calculate GCF of 812,875

7 812, 875
116, 125

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33574882/7

Therefore the LCM of Fractions 4378/812,7669/875 is 33574882/7

Greatest Common Factor of 812,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,875 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 812,875 . The biggest common factor number is the GCF number.
So the greatest common factor 812,875 is 7.


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 4378/812, 7669/875

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 4378/812, 7669/875?

Answer: LCM of Numerators as per given numbers 4378/812, 7669/875 is

LCM of Numerators i.e. for 4378,7669 is 33574882

GCF of denominators i.e. for 812,875 is 7.

Thus, LCM of Fractions is 33574882/7.Finally, LCM of Fractions for 4378/812, 7669/875 is 33574882/7.