Least Common Multiple of 49/960, 79/873, 788/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/960, 79/873, 788/603 quickly i.e. 3050348/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/960, 79/873, 788/603 is 3050348/3.

LCM(49/960, 79/873, 788/603) = 3050348/3

LCM of 49/960, 79/873, 788/603

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 49/960,79/873,788/603

Given numbers are 49/960,79/873,788/603

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 49,79,788

Least Common Multiple of Numerators i.e. LCM of 49,79,788 is 3050348.

GCF of Denominators means GCF of 960,873,603 as per the given fractions.

GCF of 960,873,603 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,79,788

LCM of Fractions 49/960,79/873,788/603 is 3050348/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 3050348

Least Common Multiple of 49,79,788 with GCF Formula

Least Common Multiple of 49,79,788 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 49,79,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,79,788) = 1

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

GCF(49,79,788) x common factors =1 x 1 = 1

LCM(49,79,788) = ( 49 × 79 × 788 ) / 1

LCM(49,79,788) = 3050348 / 1

LCM(49,79,788) = 3050348


Lets's calculate GCF of 960,873,603

3 960, 873, 603
320, 291, 201

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3050348/3

Therefore the LCM of Fractions 49/960,79/873,788/603 is 3050348/3

Greatest Common Factor of 960,873,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,873,603 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 960,873,603 . The biggest common factor number is the GCF number.
So the greatest common factor 960,873,603 is 3.


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 49/960, 79/873, 788/603

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 49/960, 79/873, 788/603?

Answer: LCM of Numerators as per given numbers 49/960, 79/873, 788/603 is

LCM of Numerators i.e. for 49,79,788 is 3050348

GCF of denominators i.e. for 960,873,603 is 3.

Thus, LCM of Fractions is 3050348/3.Finally, LCM of Fractions for 49/960, 79/873, 788/603 is 3050348/3.