Least Common Multiple of 549/970, 1367/4555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 549/970, 1367/4555 quickly i.e. 750483/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 549/970, 1367/4555 is 750483/5.

LCM(549/970, 1367/4555) = 750483/5

LCM of 549/970, 1367/4555

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 549/970,1367/4555

Given numbers are 549/970,1367/4555

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 549,1367

Least Common Multiple of Numerators i.e. LCM of 549,1367 is 750483.

GCF of Denominators means GCF of 970,4555 as per the given fractions.

GCF of 970,4555 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 549,1367

LCM of Fractions 549/970,1367/4555 is 750483/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 750483

Least Common Multiple of 549,1367 with GCF Formula

Least Common Multiple of 549,1367 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 549,1367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,1367) = 1

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

GCF(549,1367) x common factors =1 x 1 = 1

LCM(549,1367) = ( 549 × 1367 ) / 1

LCM(549,1367) = 750483 / 1

LCM(549,1367) = 750483


Lets's calculate GCF of 970,4555

5 970, 4555
194, 911

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 750483/5

Therefore the LCM of Fractions 549/970,1367/4555 is 750483/5

Greatest Common Factor of 970,4555 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,4555 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 4555

List of positive integer factors of 4555 that divides 4555 without a remainder.

1,5,911,4555

Greatest Common Factor

We found the factors 970,4555 . The biggest common factor number is the GCF number.
So the greatest common factor 970,4555 is 5.


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Frequently Asked Questions on Fractional LCM of 549/970, 1367/4555

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 549/970, 1367/4555?

Answer: LCM of Numerators as per given numbers 549/970, 1367/4555 is

LCM of Numerators i.e. for 549,1367 is 750483

GCF of denominators i.e. for 970,4555 is 5.

Thus, LCM of Fractions is 750483/5.Finally, LCM of Fractions for 549/970, 1367/4555 is 750483/5.