Least Common Multiple of 480/508, 139/124, 663/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/508, 139/124, 663/782 quickly i.e. 7372560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/508, 139/124, 663/782 is 7372560.

LCM(480/508, 139/124, 663/782) = 7372560

LCM of 480/508, 139/124, 663/782

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 480/508,139/124,663/782

Given numbers are 480/508,139/124,663/782

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 480,139,663

Least Common Multiple of Numerators i.e. LCM of 480,139,663 is 14745120.

GCF of Denominators means GCF of 508,124,782 as per the given fractions.

GCF of 508,124,782 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,139,663

LCM of Fractions 480/508,139/124,663/782 is 7372560

3 480, 139, 663
160, 139, 221

∴ So the LCM of the given numbers is 3 x 160 x 139 x 221 = 14745120

Least Common Multiple of 480,139,663 with GCF Formula

Least Common Multiple of 480,139,663 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 480,139,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,139,663) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(480,139,663) x common factors =1 x 3 = 3

LCM(480,139,663) = ( 480 × 139 × 663 ) / 3

LCM(480,139,663) = 44235360 / 3

LCM(480,139,663) = 14745120


Lets's calculate GCF of 508,124,782

2 508, 124, 782
254, 62, 391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14745120/2

Therefore the LCM of Fractions 480/508,139/124,663/782 is 7372560

Greatest Common Factor of 508,124,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 508,124,782 By Matching Biggest Common Factor Method

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 508,124,782 . The biggest common factor number is the GCF number.
So the greatest common factor 508,124,782 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 480/508, 139/124, 663/782

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 480/508, 139/124, 663/782?

Answer: LCM of Numerators as per given numbers 480/508, 139/124, 663/782 is

LCM of Numerators i.e. for 480,139,663 is 14745120

GCF of denominators i.e. for 508,124,782 is 2.

Thus, LCM of Fractions is 7372560.Finally, LCM of Fractions for 480/508, 139/124, 663/782 is 7372560.