Least Common Multiple of 6976/462, 4867/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6976/462, 4867/914 quickly i.e. 16976096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6976/462, 4867/914 is 16976096.

LCM(6976/462, 4867/914) = 16976096

LCM of 6976/462, 4867/914

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 6976/462,4867/914

Given numbers are 6976/462,4867/914

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 6976,4867

Least Common Multiple of Numerators i.e. LCM of 6976,4867 is 33952192.

GCF of Denominators means GCF of 462,914 as per the given fractions.

GCF of 462,914 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6976,4867

LCM of Fractions 6976/462,4867/914 is 16976096

Given numbers has no common factors except 1. So, there LCM is their product i.e 33952192

Least Common Multiple of 6976,4867 with GCF Formula

Least Common Multiple of 6976,4867 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 6976,4867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6976,4867) = 1

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

GCF(6976,4867) x common factors =1 x 1 = 1

LCM(6976,4867) = ( 6976 × 4867 ) / 1

LCM(6976,4867) = 33952192 / 1

LCM(6976,4867) = 33952192


Lets's calculate GCF of 462,914

2 462, 914
231, 457

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33952192/2

Therefore the LCM of Fractions 6976/462,4867/914 is 16976096

Greatest Common Factor of 462,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,914 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 914

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

1,2,457,914

Greatest Common Factor

We found the factors 462,914 . The biggest common factor number is the GCF number.
So the greatest common factor 462,914 is 2.


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 6976/462, 4867/914

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 6976/462, 4867/914?

Answer: LCM of Numerators as per given numbers 6976/462, 4867/914 is

LCM of Numerators i.e. for 6976,4867 is 33952192

GCF of denominators i.e. for 462,914 is 2.

Thus, LCM of Fractions is 16976096.Finally, LCM of Fractions for 6976/462, 4867/914 is 16976096.