Least Common Multiple of 756/703, 6751/859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 756/703, 6751/859 quickly i.e. 5103756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 756/703, 6751/859 is 5103756.

LCM(756/703, 6751/859) = 5103756

LCM of 756/703, 6751/859

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 756/703,6751/859

Given numbers are 756/703,6751/859

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 756,6751

Least Common Multiple of Numerators i.e. LCM of 756,6751 is 5103756.

GCF of Denominators means GCF of 703,859 as per the given fractions.

GCF of 703,859 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 756,6751

LCM of Fractions 756/703,6751/859 is 5103756

Given numbers has no common factors except 1. So, there LCM is their product i.e 5103756

Least Common Multiple of 756,6751 with GCF Formula

Least Common Multiple of 756,6751 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 756,6751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,6751) = 1

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

GCF(756,6751) x common factors =1 x 1 = 1

LCM(756,6751) = ( 756 × 6751 ) / 1

LCM(756,6751) = 5103756 / 1

LCM(756,6751) = 5103756


Lets's calculate GCF of 703,859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5103756/1

Therefore the LCM of Fractions 756/703,6751/859 is 5103756

Greatest Common Factor of 703,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 703,859 By Matching Biggest Common Factor Method

Factors of 703

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

1,19,37,703

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Greatest Common Factor

We found the factors 703,859 . The biggest common factor number is the GCF number.
So the greatest common factor 703,859 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 756/703, 6751/859

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 756/703, 6751/859?

Answer: LCM of Numerators as per given numbers 756/703, 6751/859 is

LCM of Numerators i.e. for 756,6751 is 5103756

GCF of denominators i.e. for 703,859 is 1.

Thus, LCM of Fractions is 5103756.Finally, LCM of Fractions for 756/703, 6751/859 is 5103756.