Least Common Multiple of 5677/464, 9404/6078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5677/464, 9404/6078 quickly i.e. 26693254 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5677/464, 9404/6078 is 26693254.

LCM(5677/464, 9404/6078) = 26693254

LCM of 5677/464, 9404/6078

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 5677/464,9404/6078

Given numbers are 5677/464,9404/6078

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 5677,9404

Least Common Multiple of Numerators i.e. LCM of 5677,9404 is 53386508.

GCF of Denominators means GCF of 464,6078 as per the given fractions.

GCF of 464,6078 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5677,9404

LCM of Fractions 5677/464,9404/6078 is 26693254

Given numbers has no common factors except 1. So, there LCM is their product i.e 53386508

Least Common Multiple of 5677,9404 with GCF Formula

Least Common Multiple of 5677,9404 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 5677,9404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5677,9404) = 1

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

GCF(5677,9404) x common factors =1 x 1 = 1

LCM(5677,9404) = ( 5677 × 9404 ) / 1

LCM(5677,9404) = 53386508 / 1

LCM(5677,9404) = 53386508


Lets's calculate GCF of 464,6078

2 464, 6078
232, 3039

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53386508/2

Therefore the LCM of Fractions 5677/464,9404/6078 is 26693254

Greatest Common Factor of 464,6078 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,6078 By Matching Biggest Common Factor Method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 6078

List of positive integer factors of 6078 that divides 6078 without a remainder.

1,2,3,6,1013,2026,3039,6078

Greatest Common Factor

We found the factors 464,6078 . The biggest common factor number is the GCF number.
So the greatest common factor 464,6078 is 2.


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 5677/464, 9404/6078

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 5677/464, 9404/6078?

Answer: LCM of Numerators as per given numbers 5677/464, 9404/6078 is

LCM of Numerators i.e. for 5677,9404 is 53386508

GCF of denominators i.e. for 464,6078 is 2.

Thus, LCM of Fractions is 26693254.Finally, LCM of Fractions for 5677/464, 9404/6078 is 26693254.