Least Common Multiple of 552/290, 580/750, 612/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 552/290, 580/750, 612/844 quickly i.e. 2041020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 552/290, 580/750, 612/844 is 2041020.

LCM(552/290, 580/750, 612/844) = 2041020

LCM of 552/290, 580/750, 612/844

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 552/290,580/750,612/844

Given numbers are 552/290,580/750,612/844

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 552,580,612

Least Common Multiple of Numerators i.e. LCM of 552,580,612 is 4082040.

GCF of Denominators means GCF of 290,750,844 as per the given fractions.

GCF of 290,750,844 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 552,580,612

LCM of Fractions 552/290,580/750,612/844 is 2041020

2 552, 580, 612
2 276, 290, 306
3 138, 145, 153
46, 145, 51

∴ So the LCM of the given numbers is 2 x 2 x 3 x 46 x 145 x 51 = 4082040

Least Common Multiple of 552,580,612 with GCF Formula

Least Common Multiple of 552,580,612 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 552,580,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,580,612) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(552,580,612) x common factors =4 x 12 = 48

LCM(552,580,612) = ( 552 × 580 × 612 ) / 48

LCM(552,580,612) = 195937920 / 48

LCM(552,580,612) = 4082040


Lets's calculate GCF of 290,750,844

2 290, 750, 844
145, 375, 422

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4082040/2

Therefore the LCM of Fractions 552/290,580/750,612/844 is 2041020

Greatest Common Factor of 290,750,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,750,844 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 290,750,844 . The biggest common factor number is the GCF number.
So the greatest common factor 290,750,844 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 552/290, 580/750, 612/844

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 552/290, 580/750, 612/844?

Answer: LCM of Numerators as per given numbers 552/290, 580/750, 612/844 is

LCM of Numerators i.e. for 552,580,612 is 4082040

GCF of denominators i.e. for 290,750,844 is 2.

Thus, LCM of Fractions is 2041020.Finally, LCM of Fractions for 552/290, 580/750, 612/844 is 2041020.