Least Common Multiple of 480/944, 4870/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/944, 4870/316 quickly i.e. 58440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/944, 4870/316 is 58440.

LCM(480/944, 4870/316) = 58440

LCM of 480/944, 4870/316

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 480/944,4870/316

Given numbers are 480/944,4870/316

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 480,4870

Least Common Multiple of Numerators i.e. LCM of 480,4870 is 233760.

GCF of Denominators means GCF of 944,316 as per the given fractions.

GCF of 944,316 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,4870

LCM of Fractions 480/944,4870/316 is 58440

2 480, 4870
5 240, 2435
48, 487

∴ So the LCM of the given numbers is 2 x 5 x 48 x 487 = 233760

Least Common Multiple of 480,4870 with GCF Formula

Least Common Multiple of 480,4870 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 480,4870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,4870) = 10

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

GCF(480,4870) x common factors =10 x 1 = 10

LCM(480,4870) = ( 480 × 4870 ) / 10

LCM(480,4870) = 2337600 / 10

LCM(480,4870) = 233760


Lets's calculate GCF of 944,316

2 944, 316
2 472, 158
236, 79

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 233760/4

Therefore the LCM of Fractions 480/944,4870/316 is 58440

Greatest Common Factor of 944,316 By Matching Biggest Common Factor Method

Greatest Common Factor of 944,316 By Matching Biggest Common Factor Method

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Greatest Common Factor

We found the factors 944,316 . The biggest common factor number is the GCF number.
So the greatest common factor 944,316 is 4.


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 480/944, 4870/316

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 480/944, 4870/316?

Answer: LCM of Numerators as per given numbers 480/944, 4870/316 is

LCM of Numerators i.e. for 480,4870 is 233760

GCF of denominators i.e. for 944,316 is 4.

Thus, LCM of Fractions is 58440.Finally, LCM of Fractions for 480/944, 4870/316 is 58440.