Least Common Multiple of 549/699, 356/541, 582/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 549/699, 356/541, 582/470 quickly i.e. 18958068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 549/699, 356/541, 582/470 is 18958068.

LCM(549/699, 356/541, 582/470) = 18958068

LCM of 549/699, 356/541, 582/470

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 549/699,356/541,582/470

Given numbers are 549/699,356/541,582/470

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 549,356,582

Least Common Multiple of Numerators i.e. LCM of 549,356,582 is 18958068.

GCF of Denominators means GCF of 699,541,470 as per the given fractions.

GCF of 699,541,470 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 549,356,582

LCM of Fractions 549/699,356/541,582/470 is 18958068

2 549, 356, 582
3 549, 178, 291
183, 178, 97

∴ So the LCM of the given numbers is 2 x 3 x 183 x 178 x 97 = 18958068

Least Common Multiple of 549,356,582 with GCF Formula

Least Common Multiple of 549,356,582 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 549,356,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,356,582) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(549,356,582) x common factors =1 x 6 = 6

LCM(549,356,582) = ( 549 × 356 × 582 ) / 6

LCM(549,356,582) = 113748408 / 6

LCM(549,356,582) = 18958068


Lets's calculate GCF of 699,541,470

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18958068/1

Therefore the LCM of Fractions 549/699,356/541,582/470 is 18958068

Greatest Common Factor of 699,541,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,541,470 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 699,541,470 . The biggest common factor number is the GCF number.
So the greatest common factor 699,541,470 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 549/699, 356/541, 582/470

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 549/699, 356/541, 582/470?

Answer: LCM of Numerators as per given numbers 549/699, 356/541, 582/470 is

LCM of Numerators i.e. for 549,356,582 is 18958068

GCF of denominators i.e. for 699,541,470 is 1.

Thus, LCM of Fractions is 18958068.Finally, LCM of Fractions for 549/699, 356/541, 582/470 is 18958068.