Least Common Multiple of 490/574, 599/512, 554/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/574, 599/512, 554/142 quickly i.e. 40651135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/574, 599/512, 554/142 is 40651135.

LCM(490/574, 599/512, 554/142) = 40651135

LCM of 490/574, 599/512, 554/142

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 490/574,599/512,554/142

Given numbers are 490/574,599/512,554/142

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 490,599,554

Least Common Multiple of Numerators i.e. LCM of 490,599,554 is 81302270.

GCF of Denominators means GCF of 574,512,142 as per the given fractions.

GCF of 574,512,142 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,599,554

LCM of Fractions 490/574,599/512,554/142 is 40651135

2 490, 599, 554
245, 599, 277

∴ So the LCM of the given numbers is 2 x 245 x 599 x 277 = 81302270

Least Common Multiple of 490,599,554 with GCF Formula

Least Common Multiple of 490,599,554 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 490,599,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,599,554) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(490,599,554) x common factors =1 x 2 = 2

LCM(490,599,554) = ( 490 × 599 × 554 ) / 2

LCM(490,599,554) = 162604540 / 2

LCM(490,599,554) = 81302270


Lets's calculate GCF of 574,512,142

2 574, 512, 142
287, 256, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81302270/2

Therefore the LCM of Fractions 490/574,599/512,554/142 is 40651135

Greatest Common Factor of 574,512,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,512,142 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 574,512,142 . The biggest common factor number is the GCF number.
So the greatest common factor 574,512,142 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 490/574, 599/512, 554/142

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 490/574, 599/512, 554/142?

Answer: LCM of Numerators as per given numbers 490/574, 599/512, 554/142 is

LCM of Numerators i.e. for 490,599,554 is 81302270

GCF of denominators i.e. for 574,512,142 is 2.

Thus, LCM of Fractions is 40651135.Finally, LCM of Fractions for 490/574, 599/512, 554/142 is 40651135.