Least Common Multiple of 969/802, 117/416, 732/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/802, 117/416, 732/146 quickly i.e. 4610502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/802, 117/416, 732/146 is 4610502.

LCM(969/802, 117/416, 732/146) = 4610502

LCM of 969/802, 117/416, 732/146

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 969/802,117/416,732/146

Given numbers are 969/802,117/416,732/146

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 969,117,732

Least Common Multiple of Numerators i.e. LCM of 969,117,732 is 9221004.

GCF of Denominators means GCF of 802,416,146 as per the given fractions.

GCF of 802,416,146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,117,732

LCM of Fractions 969/802,117/416,732/146 is 4610502

3 969, 117, 732
323, 39, 244

∴ So the LCM of the given numbers is 3 x 323 x 39 x 244 = 9221004

Least Common Multiple of 969,117,732 with GCF Formula

Least Common Multiple of 969,117,732 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 969,117,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,117,732) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(969,117,732) x common factors =3 x 3 = 9

LCM(969,117,732) = ( 969 × 117 × 732 ) / 9

LCM(969,117,732) = 82989036 / 9

LCM(969,117,732) = 9221004


Lets's calculate GCF of 802,416,146

2 802, 416, 146
401, 208, 73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9221004/2

Therefore the LCM of Fractions 969/802,117/416,732/146 is 4610502

Greatest Common Factor of 802,416,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,416,146 By Matching Biggest Common Factor Method

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

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 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 802,416,146 . The biggest common factor number is the GCF number.
So the greatest common factor 802,416,146 is 2.


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 969/802, 117/416, 732/146

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 969/802, 117/416, 732/146?

Answer: LCM of Numerators as per given numbers 969/802, 117/416, 732/146 is

LCM of Numerators i.e. for 969,117,732 is 9221004

GCF of denominators i.e. for 802,416,146 is 2.

Thus, LCM of Fractions is 4610502.Finally, LCM of Fractions for 969/802, 117/416, 732/146 is 4610502.