Least Common Multiple of 49/213, 492/569, 678/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/213, 492/569, 678/300 quickly i.e. 2724204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/213, 492/569, 678/300 is 2724204.

LCM(49/213, 492/569, 678/300) = 2724204

LCM of 49/213, 492/569, 678/300

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 49/213,492/569,678/300

Given numbers are 49/213,492/569,678/300

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 49,492,678

Least Common Multiple of Numerators i.e. LCM of 49,492,678 is 2724204.

GCF of Denominators means GCF of 213,569,300 as per the given fractions.

GCF of 213,569,300 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,492,678

LCM of Fractions 49/213,492/569,678/300 is 2724204

2 49, 492, 678
3 49, 246, 339
49, 82, 113

∴ So the LCM of the given numbers is 2 x 3 x 49 x 82 x 113 = 2724204

Least Common Multiple of 49,492,678 with GCF Formula

Least Common Multiple of 49,492,678 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 49,492,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,492,678) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(49,492,678) x common factors =1 x 6 = 6

LCM(49,492,678) = ( 49 × 492 × 678 ) / 6

LCM(49,492,678) = 16345224 / 6

LCM(49,492,678) = 2724204


Lets's calculate GCF of 213,569,300

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2724204/1

Therefore the LCM of Fractions 49/213,492/569,678/300 is 2724204

Greatest Common Factor of 213,569,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,569,300 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 213,569,300 . The biggest common factor number is the GCF number.
So the greatest common factor 213,569,300 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 49/213, 492/569, 678/300

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 49/213, 492/569, 678/300?

Answer: LCM of Numerators as per given numbers 49/213, 492/569, 678/300 is

LCM of Numerators i.e. for 49,492,678 is 2724204

GCF of denominators i.e. for 213,569,300 is 1.

Thus, LCM of Fractions is 2724204.Finally, LCM of Fractions for 49/213, 492/569, 678/300 is 2724204.