Least Common Multiple of 48/822, 916/332, 290/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/822, 916/332, 290/694 quickly i.e. 796920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/822, 916/332, 290/694 is 796920.

LCM(48/822, 916/332, 290/694) = 796920

LCM of 48/822, 916/332, 290/694

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 48/822,916/332,290/694

Given numbers are 48/822,916/332,290/694

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 48,916,290

Least Common Multiple of Numerators i.e. LCM of 48,916,290 is 1593840.

GCF of Denominators means GCF of 822,332,694 as per the given fractions.

GCF of 822,332,694 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,916,290

LCM of Fractions 48/822,916/332,290/694 is 796920

2 48, 916, 290
2 24, 458, 145
12, 229, 145

∴ So the LCM of the given numbers is 2 x 2 x 12 x 229 x 145 = 1593840

Least Common Multiple of 48,916,290 with GCF Formula

Least Common Multiple of 48,916,290 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 48,916,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,916,290) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(48,916,290) x common factors =2 x 4 = 8

LCM(48,916,290) = ( 48 × 916 × 290 ) / 8

LCM(48,916,290) = 12750720 / 8

LCM(48,916,290) = 1593840


Lets's calculate GCF of 822,332,694

2 822, 332, 694
411, 166, 347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1593840/2

Therefore the LCM of Fractions 48/822,916/332,290/694 is 796920

Greatest Common Factor of 822,332,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,332,694 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 822,332,694 . The biggest common factor number is the GCF number.
So the greatest common factor 822,332,694 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 48/822, 916/332, 290/694

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 48/822, 916/332, 290/694?

Answer: LCM of Numerators as per given numbers 48/822, 916/332, 290/694 is

LCM of Numerators i.e. for 48,916,290 is 1593840

GCF of denominators i.e. for 822,332,694 is 2.

Thus, LCM of Fractions is 796920.Finally, LCM of Fractions for 48/822, 916/332, 290/694 is 796920.