Least Common Multiple of 452/213, 3988/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 452/213, 3988/719 quickly i.e. 450644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 452/213, 3988/719 is 450644.

LCM(452/213, 3988/719) = 450644

LCM of 452/213, 3988/719

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 452/213,3988/719

Given numbers are 452/213,3988/719

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 452,3988

Least Common Multiple of Numerators i.e. LCM of 452,3988 is 450644.

GCF of Denominators means GCF of 213,719 as per the given fractions.

GCF of 213,719 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 452,3988

LCM of Fractions 452/213,3988/719 is 450644

2 452, 3988
2 226, 1994
113, 997

∴ So the LCM of the given numbers is 2 x 2 x 113 x 997 = 450644

Least Common Multiple of 452,3988 with GCF Formula

Least Common Multiple of 452,3988 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 452,3988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(452,3988) = 4

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

GCF(452,3988) x common factors =4 x 1 = 4

LCM(452,3988) = ( 452 × 3988 ) / 4

LCM(452,3988) = 1802576 / 4

LCM(452,3988) = 450644


Lets's calculate GCF of 213,719

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 450644/1

Therefore the LCM of Fractions 452/213,3988/719 is 450644

Greatest Common Factor of 213,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,719 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 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Greatest Common Factor

We found the factors 213,719 . The biggest common factor number is the GCF number.
So the greatest common factor 213,719 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 452/213, 3988/719

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 452/213, 3988/719?

Answer: LCM of Numerators as per given numbers 452/213, 3988/719 is

LCM of Numerators i.e. for 452,3988 is 450644

GCF of denominators i.e. for 213,719 is 1.

Thus, LCM of Fractions is 450644.Finally, LCM of Fractions for 452/213, 3988/719 is 450644.