Least Common Multiple of 48/448, 660/868, 709/583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/448, 660/868, 709/583 quickly i.e. 1871760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/448, 660/868, 709/583 is 1871760.

LCM(48/448, 660/868, 709/583) = 1871760

LCM of 48/448, 660/868, 709/583

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 48/448,660/868,709/583

Given numbers are 48/448,660/868,709/583

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 48,660,709

Least Common Multiple of Numerators i.e. LCM of 48,660,709 is 1871760.

GCF of Denominators means GCF of 448,868,583 as per the given fractions.

GCF of 448,868,583 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,660,709

LCM of Fractions 48/448,660/868,709/583 is 1871760

2 48, 660, 709
2 24, 330, 709
3 12, 165, 709
4, 55, 709

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 55 x 709 = 1871760

Least Common Multiple of 48,660,709 with GCF Formula

Least Common Multiple of 48,660,709 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 48,660,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,660,709) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(48,660,709) x common factors =1 x 12 = 12

LCM(48,660,709) = ( 48 × 660 × 709 ) / 12

LCM(48,660,709) = 22461120 / 12

LCM(48,660,709) = 1871760


Lets's calculate GCF of 448,868,583

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1871760/1

Therefore the LCM of Fractions 48/448,660/868,709/583 is 1871760

Greatest Common Factor of 448,868,583 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,868,583 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Greatest Common Factor

We found the factors 448,868,583 . The biggest common factor number is the GCF number.
So the greatest common factor 448,868,583 is 1.


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 48/448, 660/868, 709/583

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 48/448, 660/868, 709/583?

Answer: LCM of Numerators as per given numbers 48/448, 660/868, 709/583 is

LCM of Numerators i.e. for 48,660,709 is 1871760

GCF of denominators i.e. for 448,868,583 is 1.

Thus, LCM of Fractions is 1871760.Finally, LCM of Fractions for 48/448, 660/868, 709/583 is 1871760.