Least Common Multiple of 6774/126, 4403/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6774/126, 4403/658 quickly i.e. 2130423 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6774/126, 4403/658 is 2130423.

LCM(6774/126, 4403/658) = 2130423

LCM of 6774/126, 4403/658

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 6774/126,4403/658

Given numbers are 6774/126,4403/658

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 6774,4403

Least Common Multiple of Numerators i.e. LCM of 6774,4403 is 29825922.

GCF of Denominators means GCF of 126,658 as per the given fractions.

GCF of 126,658 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6774,4403

LCM of Fractions 6774/126,4403/658 is 2130423

Given numbers has no common factors except 1. So, there LCM is their product i.e 29825922

Least Common Multiple of 6774,4403 with GCF Formula

Least Common Multiple of 6774,4403 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 6774,4403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6774,4403) = 1

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

GCF(6774,4403) x common factors =1 x 1 = 1

LCM(6774,4403) = ( 6774 × 4403 ) / 1

LCM(6774,4403) = 29825922 / 1

LCM(6774,4403) = 29825922


Lets's calculate GCF of 126,658

2 126, 658
7 63, 329
9, 47

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29825922/14

Therefore the LCM of Fractions 6774/126,4403/658 is 2130423

Greatest Common Factor of 126,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,658 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 126,658 . The biggest common factor number is the GCF number.
So the greatest common factor 126,658 is 14.


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 6774/126, 4403/658

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 6774/126, 4403/658?

Answer: LCM of Numerators as per given numbers 6774/126, 4403/658 is

LCM of Numerators i.e. for 6774,4403 is 29825922

GCF of denominators i.e. for 126,658 is 14.

Thus, LCM of Fractions is 2130423.Finally, LCM of Fractions for 6774/126, 4403/658 is 2130423.