Least Common Multiple of 414/920, 7038/6732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/920, 7038/6732 quickly i.e. 7038/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/920, 7038/6732 is 7038/4.

LCM(414/920, 7038/6732) = 7038/4

LCM of 414/920, 7038/6732

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 414/920,7038/6732

Given numbers are 414/920,7038/6732

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 414,7038

Least Common Multiple of Numerators i.e. LCM of 414,7038 is 7038.

GCF of Denominators means GCF of 920,6732 as per the given fractions.

GCF of 920,6732 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,7038

LCM of Fractions 414/920,7038/6732 is 7038/4

2 414, 7038
3 207, 3519
3 69, 1173
23 23, 391
1, 17

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 1 x 17 = 7038

Least Common Multiple of 414,7038 with GCF Formula

Least Common Multiple of 414,7038 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 414,7038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,7038) = 414

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

GCF(414,7038) x common factors =414 x 1 = 414

LCM(414,7038) = ( 414 × 7038 ) / 414

LCM(414,7038) = 2913732 / 414

LCM(414,7038) = 7038


Lets's calculate GCF of 920,6732

2 920, 6732
2 460, 3366
230, 1683

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7038/4

Therefore the LCM of Fractions 414/920,7038/6732 is 7038/4

Greatest Common Factor of 920,6732 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,6732 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 6732

List of positive integer factors of 6732 that divides 6732 without a remainder.

1,2,3,4,6,9,11,12,17,18,22,33,34,36,44,51,66,68,99,102,132,153,187,198,204,306,374,396,561,612,748,1122,1683,2244,3366,6732

Greatest Common Factor

We found the factors 920,6732 . The biggest common factor number is the GCF number.
So the greatest common factor 920,6732 is 4.


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 414/920, 7038/6732

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 414/920, 7038/6732?

Answer: LCM of Numerators as per given numbers 414/920, 7038/6732 is

LCM of Numerators i.e. for 414,7038 is 7038

GCF of denominators i.e. for 920,6732 is 4.

Thus, LCM of Fractions is 7038/4.Finally, LCM of Fractions for 414/920, 7038/6732 is 7038/4.