Least Common Multiple of 550/23, 495/84, 264/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 550/23, 495/84, 264/197 quickly i.e. 19800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 550/23, 495/84, 264/197 is 19800.

LCM(550/23, 495/84, 264/197) = 19800

LCM of 550/23, 495/84, 264/197

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 550/23,495/84,264/197

Given numbers are 550/23,495/84,264/197

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 550,495,264

Least Common Multiple of Numerators i.e. LCM of 550,495,264 is 19800.

GCF of Denominators means GCF of 23,84,197 as per the given fractions.

GCF of 23,84,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 550,495,264

LCM of Fractions 550/23,495/84,264/197 is 19800

2 550, 495, 264
3 275, 495, 132
5 275, 165, 44
11 55, 33, 44
5, 3, 4

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 5 x 3 x 4 = 19800

Least Common Multiple of 550,495,264 with GCF Formula

Least Common Multiple of 550,495,264 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 550,495,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,495,264) = 11

common factors(in case of two or more numbers have common factors) = 330

GCF(550,495,264) x common factors =11 x 330 = 3630

LCM(550,495,264) = ( 550 × 495 × 264 ) / 3630

LCM(550,495,264) = 71874000 / 3630

LCM(550,495,264) = 19800


Lets's calculate GCF of 23,84,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19800/1

Therefore the LCM of Fractions 550/23,495/84,264/197 is 19800

Greatest Common Factor of 23,84,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,84,197 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 23,84,197 . The biggest common factor number is the GCF number.
So the greatest common factor 23,84,197 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 550/23, 495/84, 264/197

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 550/23, 495/84, 264/197?

Answer: LCM of Numerators as per given numbers 550/23, 495/84, 264/197 is

LCM of Numerators i.e. for 550,495,264 is 19800

GCF of denominators i.e. for 23,84,197 is 1.

Thus, LCM of Fractions is 19800.Finally, LCM of Fractions for 550/23, 495/84, 264/197 is 19800.