Least Common Multiple of 5780/695, 4612/5529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5780/695, 4612/5529 quickly i.e. 6664340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5780/695, 4612/5529 is 6664340.

LCM(5780/695, 4612/5529) = 6664340

LCM of 5780/695, 4612/5529

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 5780/695,4612/5529

Given numbers are 5780/695,4612/5529

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 5780,4612

Least Common Multiple of Numerators i.e. LCM of 5780,4612 is 6664340.

GCF of Denominators means GCF of 695,5529 as per the given fractions.

GCF of 695,5529 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5780,4612

LCM of Fractions 5780/695,4612/5529 is 6664340

2 5780, 4612
2 2890, 2306
1445, 1153

∴ So the LCM of the given numbers is 2 x 2 x 1445 x 1153 = 6664340

Least Common Multiple of 5780,4612 with GCF Formula

Least Common Multiple of 5780,4612 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 5780,4612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5780,4612) = 4

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

GCF(5780,4612) x common factors =4 x 1 = 4

LCM(5780,4612) = ( 5780 × 4612 ) / 4

LCM(5780,4612) = 26657360 / 4

LCM(5780,4612) = 6664340


Lets's calculate GCF of 695,5529

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6664340/1

Therefore the LCM of Fractions 5780/695,4612/5529 is 6664340

Greatest Common Factor of 695,5529 By Matching Biggest Common Factor Method

Greatest Common Factor of 695,5529 By Matching Biggest Common Factor Method

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Factors of 5529

List of positive integer factors of 5529 that divides 5529 without a remainder.

1,3,19,57,97,291,1843,5529

Greatest Common Factor

We found the factors 695,5529 . The biggest common factor number is the GCF number.
So the greatest common factor 695,5529 is 1.


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 5780/695, 4612/5529

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 5780/695, 4612/5529?

Answer: LCM of Numerators as per given numbers 5780/695, 4612/5529 is

LCM of Numerators i.e. for 5780,4612 is 6664340

GCF of denominators i.e. for 695,5529 is 1.

Thus, LCM of Fractions is 6664340.Finally, LCM of Fractions for 5780/695, 4612/5529 is 6664340.