Least Common Multiple of 802/385, 266/879, 198/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 802/385, 266/879, 198/954 quickly i.e. 10559934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/385, 266/879, 198/954 is 10559934.

LCM(802/385, 266/879, 198/954) = 10559934

LCM of 802/385, 266/879, 198/954

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 802/385,266/879,198/954

Given numbers are 802/385,266/879,198/954

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 802,266,198

Least Common Multiple of Numerators i.e. LCM of 802,266,198 is 10559934.

GCF of Denominators means GCF of 385,879,954 as per the given fractions.

GCF of 385,879,954 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,266,198

LCM of Fractions 802/385,266/879,198/954 is 10559934

2 802, 266, 198
401, 133, 99

∴ So the LCM of the given numbers is 2 x 401 x 133 x 99 = 10559934

Least Common Multiple of 802,266,198 with GCF Formula

Least Common Multiple of 802,266,198 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 802,266,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,266,198) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(802,266,198) x common factors =2 x 2 = 4

LCM(802,266,198) = ( 802 × 266 × 198 ) / 4

LCM(802,266,198) = 42239736 / 4

LCM(802,266,198) = 10559934


Lets's calculate GCF of 385,879,954

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10559934/1

Therefore the LCM of Fractions 802/385,266/879,198/954 is 10559934

Greatest Common Factor of 385,879,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,879,954 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 385,879,954 . The biggest common factor number is the GCF number.
So the greatest common factor 385,879,954 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 802/385, 266/879, 198/954

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 802/385, 266/879, 198/954?

Answer: LCM of Numerators as per given numbers 802/385, 266/879, 198/954 is

LCM of Numerators i.e. for 802,266,198 is 10559934

GCF of denominators i.e. for 385,879,954 is 1.

Thus, LCM of Fractions is 10559934.Finally, LCM of Fractions for 802/385, 266/879, 198/954 is 10559934.