Least Common Multiple of 9666/416, 4578/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9666/416, 4578/520 quickly i.e. 7375158/104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9666/416, 4578/520 is 7375158/104.

LCM(9666/416, 4578/520) = 7375158/104

LCM of 9666/416, 4578/520

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 9666/416,4578/520

Given numbers are 9666/416,4578/520

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 9666,4578

Least Common Multiple of Numerators i.e. LCM of 9666,4578 is 7375158.

GCF of Denominators means GCF of 416,520 as per the given fractions.

GCF of 416,520 is 104 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9666,4578

LCM of Fractions 9666/416,4578/520 is 7375158/104

2 9666, 4578
3 4833, 2289
1611, 763

∴ So the LCM of the given numbers is 2 x 3 x 1611 x 763 = 7375158

Least Common Multiple of 9666,4578 with GCF Formula

Least Common Multiple of 9666,4578 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 9666,4578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9666,4578) = 6

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

GCF(9666,4578) x common factors =6 x 1 = 6

LCM(9666,4578) = ( 9666 × 4578 ) / 6

LCM(9666,4578) = 44250948 / 6

LCM(9666,4578) = 7375158


Lets's calculate GCF of 416,520

2 416, 520
2 208, 260
2 104, 130
13 52, 65
4, 5

∴ So the GCF of the given numbers is 2 x 2 x 2 x 13 = 104

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7375158/104

Therefore the LCM of Fractions 9666/416,4578/520 is 7375158/104

Greatest Common Factor of 416,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,520 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 416,520 . The biggest common factor number is the GCF number.
So the greatest common factor 416,520 is 104.


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 9666/416, 4578/520

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 9666/416, 4578/520?

Answer: LCM of Numerators as per given numbers 9666/416, 4578/520 is

LCM of Numerators i.e. for 9666,4578 is 7375158

GCF of denominators i.e. for 416,520 is 104.

Thus, LCM of Fractions is 7375158/104.Finally, LCM of Fractions for 9666/416, 4578/520 is 7375158/104.