Least Common Multiple of 562/21, 891/69, 850/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 562/21, 891/69, 850/338 quickly i.e. 212815350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 562/21, 891/69, 850/338 is 212815350.

LCM(562/21, 891/69, 850/338) = 212815350

LCM of 562/21, 891/69, 850/338

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 562/21,891/69,850/338

Given numbers are 562/21,891/69,850/338

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 562,891,850

Least Common Multiple of Numerators i.e. LCM of 562,891,850 is 212815350.

GCF of Denominators means GCF of 21,69,338 as per the given fractions.

GCF of 21,69,338 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 562,891,850

LCM of Fractions 562/21,891/69,850/338 is 212815350

2 562, 891, 850
281, 891, 425

∴ So the LCM of the given numbers is 2 x 281 x 891 x 425 = 212815350

Least Common Multiple of 562,891,850 with GCF Formula

Least Common Multiple of 562,891,850 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 562,891,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,891,850) = 1

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

GCF(562,891,850) x common factors =1 x 2 = 2

LCM(562,891,850) = ( 562 × 891 × 850 ) / 2

LCM(562,891,850) = 425630700 / 2

LCM(562,891,850) = 212815350


Lets's calculate GCF of 21,69,338

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212815350/1

Therefore the LCM of Fractions 562/21,891/69,850/338 is 212815350

Greatest Common Factor of 21,69,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,69,338 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 21,69,338 . The biggest common factor number is the GCF number.
So the greatest common factor 21,69,338 is 1.


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 562/21, 891/69, 850/338

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 562/21, 891/69, 850/338?

Answer: LCM of Numerators as per given numbers 562/21, 891/69, 850/338 is

LCM of Numerators i.e. for 562,891,850 is 212815350

GCF of denominators i.e. for 21,69,338 is 1.

Thus, LCM of Fractions is 212815350.Finally, LCM of Fractions for 562/21, 891/69, 850/338 is 212815350.