Least Common Multiple of 795/965, 960/703, 574/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 795/965, 960/703, 574/876 quickly i.e. 14602560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 795/965, 960/703, 574/876 is 14602560.

LCM(795/965, 960/703, 574/876) = 14602560

LCM of 795/965, 960/703, 574/876

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 795/965,960/703,574/876

Given numbers are 795/965,960/703,574/876

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 795,960,574

Least Common Multiple of Numerators i.e. LCM of 795,960,574 is 14602560.

GCF of Denominators means GCF of 965,703,876 as per the given fractions.

GCF of 965,703,876 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 795,960,574

LCM of Fractions 795/965,960/703,574/876 is 14602560

2 795, 960, 574
3 795, 480, 287
5 265, 160, 287
53, 32, 287

∴ So the LCM of the given numbers is 2 x 3 x 5 x 53 x 32 x 287 = 14602560

Least Common Multiple of 795,960,574 with GCF Formula

Least Common Multiple of 795,960,574 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 795,960,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,960,574) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(795,960,574) x common factors =1 x 30 = 30

LCM(795,960,574) = ( 795 × 960 × 574 ) / 30

LCM(795,960,574) = 438076800 / 30

LCM(795,960,574) = 14602560


Lets's calculate GCF of 965,703,876

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14602560/1

Therefore the LCM of Fractions 795/965,960/703,574/876 is 14602560

Greatest Common Factor of 965,703,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 965,703,876 By Matching Biggest Common Factor Method

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 965,703,876 . The biggest common factor number is the GCF number.
So the greatest common factor 965,703,876 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 795/965, 960/703, 574/876

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 795/965, 960/703, 574/876?

Answer: LCM of Numerators as per given numbers 795/965, 960/703, 574/876 is

LCM of Numerators i.e. for 795,960,574 is 14602560

GCF of denominators i.e. for 965,703,876 is 1.

Thus, LCM of Fractions is 14602560.Finally, LCM of Fractions for 795/965, 960/703, 574/876 is 14602560.