Least Common Multiple of 848/359, 560/943, 744/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 848/359, 560/943, 744/516 quickly i.e. 2760240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 848/359, 560/943, 744/516 is 2760240.

LCM(848/359, 560/943, 744/516) = 2760240

LCM of 848/359, 560/943, 744/516

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 848/359,560/943,744/516

Given numbers are 848/359,560/943,744/516

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 848,560,744

Least Common Multiple of Numerators i.e. LCM of 848,560,744 is 2760240.

GCF of Denominators means GCF of 359,943,516 as per the given fractions.

GCF of 359,943,516 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 848,560,744

LCM of Fractions 848/359,560/943,744/516 is 2760240

2 848, 560, 744
2 424, 280, 372
2 212, 140, 186
2 106, 70, 93
53, 35, 93

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 53 x 35 x 93 = 2760240

Least Common Multiple of 848,560,744 with GCF Formula

Least Common Multiple of 848,560,744 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 848,560,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(848,560,744) = 8

common factors(in case of two or more numbers have common factors) = 16

GCF(848,560,744) x common factors =8 x 16 = 128

LCM(848,560,744) = ( 848 × 560 × 744 ) / 128

LCM(848,560,744) = 353310720 / 128

LCM(848,560,744) = 2760240


Lets's calculate GCF of 359,943,516

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2760240/1

Therefore the LCM of Fractions 848/359,560/943,744/516 is 2760240

Greatest Common Factor of 359,943,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,943,516 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 359,943,516 . The biggest common factor number is the GCF number.
So the greatest common factor 359,943,516 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 848/359, 560/943, 744/516

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 848/359, 560/943, 744/516?

Answer: LCM of Numerators as per given numbers 848/359, 560/943, 744/516 is

LCM of Numerators i.e. for 848,560,744 is 2760240

GCF of denominators i.e. for 359,943,516 is 1.

Thus, LCM of Fractions is 2760240.Finally, LCM of Fractions for 848/359, 560/943, 744/516 is 2760240.