Least Common Multiple of 3772/427, 9106/6835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3772/427, 9106/6835 quickly i.e. 17173916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3772/427, 9106/6835 is 17173916.

LCM(3772/427, 9106/6835) = 17173916

LCM of 3772/427, 9106/6835

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 3772/427,9106/6835

Given numbers are 3772/427,9106/6835

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 3772,9106

Least Common Multiple of Numerators i.e. LCM of 3772,9106 is 17173916.

GCF of Denominators means GCF of 427,6835 as per the given fractions.

GCF of 427,6835 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3772,9106

LCM of Fractions 3772/427,9106/6835 is 17173916

2 3772, 9106
1886, 4553

∴ So the LCM of the given numbers is 2 x 1886 x 4553 = 17173916

Least Common Multiple of 3772,9106 with GCF Formula

Least Common Multiple of 3772,9106 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 3772,9106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3772,9106) = 2

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

GCF(3772,9106) x common factors =2 x 1 = 2

LCM(3772,9106) = ( 3772 × 9106 ) / 2

LCM(3772,9106) = 34347832 / 2

LCM(3772,9106) = 17173916


Lets's calculate GCF of 427,6835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17173916/1

Therefore the LCM of Fractions 3772/427,9106/6835 is 17173916

Greatest Common Factor of 427,6835 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,6835 By Matching Biggest Common Factor Method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 6835

List of positive integer factors of 6835 that divides 6835 without a remainder.

1,5,1367,6835

Greatest Common Factor

We found the factors 427,6835 . The biggest common factor number is the GCF number.
So the greatest common factor 427,6835 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 3772/427, 9106/6835

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 3772/427, 9106/6835?

Answer: LCM of Numerators as per given numbers 3772/427, 9106/6835 is

LCM of Numerators i.e. for 3772,9106 is 17173916

GCF of denominators i.e. for 427,6835 is 1.

Thus, LCM of Fractions is 17173916.Finally, LCM of Fractions for 3772/427, 9106/6835 is 17173916.