Least Common Multiple of 867/17, 782/50, 546/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 867/17, 782/50, 546/21 quickly i.e. 3629262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 867/17, 782/50, 546/21 is 3629262.

LCM(867/17, 782/50, 546/21) = 3629262

LCM of 867/17, 782/50, 546/21

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 867/17,782/50,546/21

Given numbers are 867/17,782/50,546/21

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 867,782,546

Least Common Multiple of Numerators i.e. LCM of 867,782,546 is 3629262.

GCF of Denominators means GCF of 17,50,21 as per the given fractions.

GCF of 17,50,21 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 867,782,546

LCM of Fractions 867/17,782/50,546/21 is 3629262

2 867, 782, 546
3 867, 391, 273
17 289, 391, 91
17, 23, 91

∴ So the LCM of the given numbers is 2 x 3 x 17 x 17 x 23 x 91 = 3629262

Least Common Multiple of 867,782,546 with GCF Formula

Least Common Multiple of 867,782,546 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 867,782,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,782,546) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(867,782,546) x common factors =1 x 102 = 102

LCM(867,782,546) = ( 867 × 782 × 546 ) / 102

LCM(867,782,546) = 370184724 / 102

LCM(867,782,546) = 3629262


Lets's calculate GCF of 17,50,21

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3629262/1

Therefore the LCM of Fractions 867/17,782/50,546/21 is 3629262

Greatest Common Factor of 17,50,21 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,50,21 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 21

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

1,3,7,21

Greatest Common Factor

We found the factors 17,50,21 . The biggest common factor number is the GCF number.
So the greatest common factor 17,50,21 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 867/17, 782/50, 546/21

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 867/17, 782/50, 546/21?

Answer: LCM of Numerators as per given numbers 867/17, 782/50, 546/21 is

LCM of Numerators i.e. for 867,782,546 is 3629262

GCF of denominators i.e. for 17,50,21 is 1.

Thus, LCM of Fractions is 3629262.Finally, LCM of Fractions for 867/17, 782/50, 546/21 is 3629262.