Least Common Multiple of 71/498, 51/747, 106/573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/498, 51/747, 106/573 quickly i.e. 127942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/498, 51/747, 106/573 is 127942.

LCM(71/498, 51/747, 106/573) = 127942

LCM of 71/498, 51/747, 106/573

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 71/498,51/747,106/573

Given numbers are 71/498,51/747,106/573

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 71,51,106

Least Common Multiple of Numerators i.e. LCM of 71,51,106 is 383826.

GCF of Denominators means GCF of 498,747,573 as per the given fractions.

GCF of 498,747,573 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,51,106

LCM of Fractions 71/498,51/747,106/573 is 127942

Given numbers has no common factors except 1. So, there LCM is their product i.e 383826

Least Common Multiple of 71,51,106 with GCF Formula

Least Common Multiple of 71,51,106 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 71,51,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,51,106) = 1

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

GCF(71,51,106) x common factors =1 x 1 = 1

LCM(71,51,106) = ( 71 × 51 × 106 ) / 1

LCM(71,51,106) = 383826 / 1

LCM(71,51,106) = 383826


Lets's calculate GCF of 498,747,573

3 498, 747, 573
166, 249, 191

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 383826/3

Therefore the LCM of Fractions 71/498,51/747,106/573 is 127942

Greatest Common Factor of 498,747,573 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,747,573 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Greatest Common Factor

We found the factors 498,747,573 . The biggest common factor number is the GCF number.
So the greatest common factor 498,747,573 is 3.


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 71/498, 51/747, 106/573

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 71/498, 51/747, 106/573?

Answer: LCM of Numerators as per given numbers 71/498, 51/747, 106/573 is

LCM of Numerators i.e. for 71,51,106 is 383826

GCF of denominators i.e. for 498,747,573 is 3.

Thus, LCM of Fractions is 127942.Finally, LCM of Fractions for 71/498, 51/747, 106/573 is 127942.