Least Common Multiple of 1714/724, 7814/893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1714/724, 7814/893 quickly i.e. 6696598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1714/724, 7814/893 is 6696598.

LCM(1714/724, 7814/893) = 6696598

LCM of 1714/724, 7814/893

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 1714/724,7814/893

Given numbers are 1714/724,7814/893

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 1714,7814

Least Common Multiple of Numerators i.e. LCM of 1714,7814 is 6696598.

GCF of Denominators means GCF of 724,893 as per the given fractions.

GCF of 724,893 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1714,7814

LCM of Fractions 1714/724,7814/893 is 6696598

2 1714, 7814
857, 3907

∴ So the LCM of the given numbers is 2 x 857 x 3907 = 6696598

Least Common Multiple of 1714,7814 with GCF Formula

Least Common Multiple of 1714,7814 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 1714,7814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1714,7814) = 2

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

GCF(1714,7814) x common factors =2 x 1 = 2

LCM(1714,7814) = ( 1714 × 7814 ) / 2

LCM(1714,7814) = 13393196 / 2

LCM(1714,7814) = 6696598


Lets's calculate GCF of 724,893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6696598/1

Therefore the LCM of Fractions 1714/724,7814/893 is 6696598

Greatest Common Factor of 724,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,893 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Greatest Common Factor

We found the factors 724,893 . The biggest common factor number is the GCF number.
So the greatest common factor 724,893 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 1714/724, 7814/893

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 1714/724, 7814/893?

Answer: LCM of Numerators as per given numbers 1714/724, 7814/893 is

LCM of Numerators i.e. for 1714,7814 is 6696598

GCF of denominators i.e. for 724,893 is 1.

Thus, LCM of Fractions is 6696598.Finally, LCM of Fractions for 1714/724, 7814/893 is 6696598.