Least Common Multiple of 675/22, 4869/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 675/22, 4869/814 quickly i.e. 365175/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 675/22, 4869/814 is 365175/22.

LCM(675/22, 4869/814) = 365175/22

LCM of 675/22, 4869/814

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 675/22,4869/814

Given numbers are 675/22,4869/814

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 675,4869

Least Common Multiple of Numerators i.e. LCM of 675,4869 is 365175.

GCF of Denominators means GCF of 22,814 as per the given fractions.

GCF of 22,814 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 675,4869

LCM of Fractions 675/22,4869/814 is 365175/22

3 675, 4869
3 225, 1623
75, 541

∴ So the LCM of the given numbers is 3 x 3 x 75 x 541 = 365175

Least Common Multiple of 675,4869 with GCF Formula

Least Common Multiple of 675,4869 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 675,4869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,4869) = 9

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

GCF(675,4869) x common factors =9 x 1 = 9

LCM(675,4869) = ( 675 × 4869 ) / 9

LCM(675,4869) = 3286575 / 9

LCM(675,4869) = 365175


Lets's calculate GCF of 22,814

2 22, 814
11 11, 407
1, 37

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365175/22

Therefore the LCM of Fractions 675/22,4869/814 is 365175/22

Greatest Common Factor of 22,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,814 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 22,814 . The biggest common factor number is the GCF number.
So the greatest common factor 22,814 is 22.


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 675/22, 4869/814

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 675/22, 4869/814?

Answer: LCM of Numerators as per given numbers 675/22, 4869/814 is

LCM of Numerators i.e. for 675,4869 is 365175

GCF of denominators i.e. for 22,814 is 22.

Thus, LCM of Fractions is 365175/22.Finally, LCM of Fractions for 675/22, 4869/814 is 365175/22.