Least Common Multiple of 713/218, 453/450, 947/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 713/218, 453/450, 947/104 quickly i.e. 305870583/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 713/218, 453/450, 947/104 is 305870583/2.

LCM(713/218, 453/450, 947/104) = 305870583/2

LCM of 713/218, 453/450, 947/104

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 713/218,453/450,947/104

Given numbers are 713/218,453/450,947/104

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 713,453,947

Least Common Multiple of Numerators i.e. LCM of 713,453,947 is 305870583.

GCF of Denominators means GCF of 218,450,104 as per the given fractions.

GCF of 218,450,104 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 713,453,947

LCM of Fractions 713/218,453/450,947/104 is 305870583/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 305870583

Least Common Multiple of 713,453,947 with GCF Formula

Least Common Multiple of 713,453,947 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 713,453,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,453,947) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(713,453,947) x common factors =1 x 1 = 1

LCM(713,453,947) = ( 713 × 453 × 947 ) / 1

LCM(713,453,947) = 305870583 / 1

LCM(713,453,947) = 305870583


Lets's calculate GCF of 218,450,104

2 218, 450, 104
109, 225, 52

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 305870583/2

Therefore the LCM of Fractions 713/218,453/450,947/104 is 305870583/2

Greatest Common Factor of 218,450,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,450,104 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 218,450,104 . The biggest common factor number is the GCF number.
So the greatest common factor 218,450,104 is 2.


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 713/218, 453/450, 947/104

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 713/218, 453/450, 947/104?

Answer: LCM of Numerators as per given numbers 713/218, 453/450, 947/104 is

LCM of Numerators i.e. for 713,453,947 is 305870583

GCF of denominators i.e. for 218,450,104 is 2.

Thus, LCM of Fractions is 305870583/2.Finally, LCM of Fractions for 713/218, 453/450, 947/104 is 305870583/2.