Least Common Multiple of 708/514, 484/792, 469/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 708/514, 484/792, 469/254 quickly i.e. 20089146 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 708/514, 484/792, 469/254 is 20089146.

LCM(708/514, 484/792, 469/254) = 20089146

LCM of 708/514, 484/792, 469/254

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 708/514,484/792,469/254

Given numbers are 708/514,484/792,469/254

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 708,484,469

Least Common Multiple of Numerators i.e. LCM of 708,484,469 is 40178292.

GCF of Denominators means GCF of 514,792,254 as per the given fractions.

GCF of 514,792,254 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 708,484,469

LCM of Fractions 708/514,484/792,469/254 is 20089146

2 708, 484, 469
2 354, 242, 469
177, 121, 469

∴ So the LCM of the given numbers is 2 x 2 x 177 x 121 x 469 = 40178292

Least Common Multiple of 708,484,469 with GCF Formula

Least Common Multiple of 708,484,469 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 708,484,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,484,469) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(708,484,469) x common factors =1 x 4 = 4

LCM(708,484,469) = ( 708 × 484 × 469 ) / 4

LCM(708,484,469) = 160713168 / 4

LCM(708,484,469) = 40178292


Lets's calculate GCF of 514,792,254

2 514, 792, 254
257, 396, 127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40178292/2

Therefore the LCM of Fractions 708/514,484/792,469/254 is 20089146

Greatest Common Factor of 514,792,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,792,254 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 514,792,254 . The biggest common factor number is the GCF number.
So the greatest common factor 514,792,254 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 708/514, 484/792, 469/254

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 708/514, 484/792, 469/254?

Answer: LCM of Numerators as per given numbers 708/514, 484/792, 469/254 is

LCM of Numerators i.e. for 708,484,469 is 40178292

GCF of denominators i.e. for 514,792,254 is 2.

Thus, LCM of Fractions is 20089146.Finally, LCM of Fractions for 708/514, 484/792, 469/254 is 20089146.