Least Common Multiple of 5517/66, 1482/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5517/66, 1482/312 quickly i.e. 454233 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5517/66, 1482/312 is 454233.

LCM(5517/66, 1482/312) = 454233

LCM of 5517/66, 1482/312

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 5517/66,1482/312

Given numbers are 5517/66,1482/312

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 5517,1482

Least Common Multiple of Numerators i.e. LCM of 5517,1482 is 2725398.

GCF of Denominators means GCF of 66,312 as per the given fractions.

GCF of 66,312 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5517,1482

LCM of Fractions 5517/66,1482/312 is 454233

3 5517, 1482
1839, 494

∴ So the LCM of the given numbers is 3 x 1839 x 494 = 2725398

Least Common Multiple of 5517,1482 with GCF Formula

Least Common Multiple of 5517,1482 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 5517,1482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5517,1482) = 3

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

GCF(5517,1482) x common factors =3 x 1 = 3

LCM(5517,1482) = ( 5517 × 1482 ) / 3

LCM(5517,1482) = 8176194 / 3

LCM(5517,1482) = 2725398


Lets's calculate GCF of 66,312

2 66, 312
3 33, 156
11, 52

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2725398/6

Therefore the LCM of Fractions 5517/66,1482/312 is 454233

Greatest Common Factor of 66,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,312 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 66,312 . The biggest common factor number is the GCF number.
So the greatest common factor 66,312 is 6.


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 5517/66, 1482/312

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 5517/66, 1482/312?

Answer: LCM of Numerators as per given numbers 5517/66, 1482/312 is

LCM of Numerators i.e. for 5517,1482 is 2725398

GCF of denominators i.e. for 66,312 is 6.

Thus, LCM of Fractions is 454233.Finally, LCM of Fractions for 5517/66, 1482/312 is 454233.