Least Common Multiple of 4641/80, 7495/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4641/80, 7495/550 quickly i.e. 34784295/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4641/80, 7495/550 is 34784295/10.

LCM(4641/80, 7495/550) = 34784295/10

LCM of 4641/80, 7495/550

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 4641/80,7495/550

Given numbers are 4641/80,7495/550

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 4641,7495

Least Common Multiple of Numerators i.e. LCM of 4641,7495 is 34784295.

GCF of Denominators means GCF of 80,550 as per the given fractions.

GCF of 80,550 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4641,7495

LCM of Fractions 4641/80,7495/550 is 34784295/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 34784295

Least Common Multiple of 4641,7495 with GCF Formula

Least Common Multiple of 4641,7495 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 4641,7495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4641,7495) = 1

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

GCF(4641,7495) x common factors =1 x 1 = 1

LCM(4641,7495) = ( 4641 × 7495 ) / 1

LCM(4641,7495) = 34784295 / 1

LCM(4641,7495) = 34784295


Lets's calculate GCF of 80,550

2 80, 550
5 40, 275
8, 55

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34784295/10

Therefore the LCM of Fractions 4641/80,7495/550 is 34784295/10

Greatest Common Factor of 80,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,550 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 80,550 . The biggest common factor number is the GCF number.
So the greatest common factor 80,550 is 10.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4641/80, 7495/550

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 4641/80, 7495/550?

Answer: LCM of Numerators as per given numbers 4641/80, 7495/550 is

LCM of Numerators i.e. for 4641,7495 is 34784295

GCF of denominators i.e. for 80,550 is 10.

Thus, LCM of Fractions is 34784295/10.Finally, LCM of Fractions for 4641/80, 7495/550 is 34784295/10.