Least Common Multiple of 6946/495, 4916/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6946/495, 4916/129 quickly i.e. 17073268/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6946/495, 4916/129 is 17073268/3.

LCM(6946/495, 4916/129) = 17073268/3

LCM of 6946/495, 4916/129

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 6946/495,4916/129

Given numbers are 6946/495,4916/129

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 6946,4916

Least Common Multiple of Numerators i.e. LCM of 6946,4916 is 17073268.

GCF of Denominators means GCF of 495,129 as per the given fractions.

GCF of 495,129 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6946,4916

LCM of Fractions 6946/495,4916/129 is 17073268/3

2 6946, 4916
3473, 2458

∴ So the LCM of the given numbers is 2 x 3473 x 2458 = 17073268

Least Common Multiple of 6946,4916 with GCF Formula

Least Common Multiple of 6946,4916 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 6946,4916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6946,4916) = 2

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

GCF(6946,4916) x common factors =2 x 1 = 2

LCM(6946,4916) = ( 6946 × 4916 ) / 2

LCM(6946,4916) = 34146536 / 2

LCM(6946,4916) = 17073268


Lets's calculate GCF of 495,129

3 495, 129
165, 43

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17073268/3

Therefore the LCM of Fractions 6946/495,4916/129 is 17073268/3

Greatest Common Factor of 495,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,129 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 495,129 . The biggest common factor number is the GCF number.
So the greatest common factor 495,129 is 3.


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 6946/495, 4916/129

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 6946/495, 4916/129?

Answer: LCM of Numerators as per given numbers 6946/495, 4916/129 is

LCM of Numerators i.e. for 6946,4916 is 17073268

GCF of denominators i.e. for 495,129 is 3.

Thus, LCM of Fractions is 17073268/3.Finally, LCM of Fractions for 6946/495, 4916/129 is 17073268/3.