Least Common Multiple of 1796/914, 8699/6143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1796/914, 8699/6143 quickly i.e. 15623404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1796/914, 8699/6143 is 15623404.

LCM(1796/914, 8699/6143) = 15623404

LCM of 1796/914, 8699/6143

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 1796/914,8699/6143

Given numbers are 1796/914,8699/6143

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 1796,8699

Least Common Multiple of Numerators i.e. LCM of 1796,8699 is 15623404.

GCF of Denominators means GCF of 914,6143 as per the given fractions.

GCF of 914,6143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1796,8699

LCM of Fractions 1796/914,8699/6143 is 15623404

Given numbers has no common factors except 1. So, there LCM is their product i.e 15623404

Least Common Multiple of 1796,8699 with GCF Formula

Least Common Multiple of 1796,8699 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 1796,8699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1796,8699) = 1

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

GCF(1796,8699) x common factors =1 x 1 = 1

LCM(1796,8699) = ( 1796 × 8699 ) / 1

LCM(1796,8699) = 15623404 / 1

LCM(1796,8699) = 15623404


Lets's calculate GCF of 914,6143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15623404/1

Therefore the LCM of Fractions 1796/914,8699/6143 is 15623404

Greatest Common Factor of 914,6143 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,6143 By Matching Biggest Common Factor Method

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 6143

List of positive integer factors of 6143 that divides 6143 without a remainder.

1,6143

Greatest Common Factor

We found the factors 914,6143 . The biggest common factor number is the GCF number.
So the greatest common factor 914,6143 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 1796/914, 8699/6143

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 1796/914, 8699/6143?

Answer: LCM of Numerators as per given numbers 1796/914, 8699/6143 is

LCM of Numerators i.e. for 1796,8699 is 15623404

GCF of denominators i.e. for 914,6143 is 1.

Thus, LCM of Fractions is 15623404.Finally, LCM of Fractions for 1796/914, 8699/6143 is 15623404.