Least Common Multiple of 2677/423, 5778/4812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2677/423, 5778/4812 quickly i.e. 5155902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2677/423, 5778/4812 is 5155902.

LCM(2677/423, 5778/4812) = 5155902

LCM of 2677/423, 5778/4812

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 2677/423,5778/4812

Given numbers are 2677/423,5778/4812

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 2677,5778

Least Common Multiple of Numerators i.e. LCM of 2677,5778 is 15467706.

GCF of Denominators means GCF of 423,4812 as per the given fractions.

GCF of 423,4812 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2677,5778

LCM of Fractions 2677/423,5778/4812 is 5155902

Given numbers has no common factors except 1. So, there LCM is their product i.e 15467706

Least Common Multiple of 2677,5778 with GCF Formula

Least Common Multiple of 2677,5778 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 2677,5778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2677,5778) = 1

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

GCF(2677,5778) x common factors =1 x 1 = 1

LCM(2677,5778) = ( 2677 × 5778 ) / 1

LCM(2677,5778) = 15467706 / 1

LCM(2677,5778) = 15467706


Lets's calculate GCF of 423,4812

3 423, 4812
141, 1604

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15467706/3

Therefore the LCM of Fractions 2677/423,5778/4812 is 5155902

Greatest Common Factor of 423,4812 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,4812 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 4812

List of positive integer factors of 4812 that divides 4812 without a remainder.

1,2,3,4,6,12,401,802,1203,1604,2406,4812

Greatest Common Factor

We found the factors 423,4812 . The biggest common factor number is the GCF number.
So the greatest common factor 423,4812 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 2677/423, 5778/4812

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 2677/423, 5778/4812?

Answer: LCM of Numerators as per given numbers 2677/423, 5778/4812 is

LCM of Numerators i.e. for 2677,5778 is 15467706

GCF of denominators i.e. for 423,4812 is 3.

Thus, LCM of Fractions is 5155902.Finally, LCM of Fractions for 2677/423, 5778/4812 is 5155902.