Least Common Multiple of 452/20, 350/5695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 452/20, 350/5695 quickly i.e. 15820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 452/20, 350/5695 is 15820.

LCM(452/20, 350/5695) = 15820

LCM of 452/20, 350/5695

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 452/20,350/5695

Given numbers are 452/20,350/5695

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 452,350

Least Common Multiple of Numerators i.e. LCM of 452,350 is 79100.

GCF of Denominators means GCF of 20,5695 as per the given fractions.

GCF of 20,5695 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 452,350

LCM of Fractions 452/20,350/5695 is 15820

2 452, 350
226, 175

∴ So the LCM of the given numbers is 2 x 226 x 175 = 79100

Least Common Multiple of 452,350 with GCF Formula

Least Common Multiple of 452,350 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 452,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(452,350) = 2

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

GCF(452,350) x common factors =2 x 1 = 2

LCM(452,350) = ( 452 × 350 ) / 2

LCM(452,350) = 158200 / 2

LCM(452,350) = 79100


Lets's calculate GCF of 20,5695

5 20, 5695
4, 1139

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79100/5

Therefore the LCM of Fractions 452/20,350/5695 is 15820

Greatest Common Factor of 20,5695 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,5695 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 5695

List of positive integer factors of 5695 that divides 5695 without a remainder.

1,5,17,67,85,335,1139,5695

Greatest Common Factor

We found the factors 20,5695 . The biggest common factor number is the GCF number.
So the greatest common factor 20,5695 is 5.


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 452/20, 350/5695

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 452/20, 350/5695?

Answer: LCM of Numerators as per given numbers 452/20, 350/5695 is

LCM of Numerators i.e. for 452,350 is 79100

GCF of denominators i.e. for 20,5695 is 5.

Thus, LCM of Fractions is 15820.Finally, LCM of Fractions for 452/20, 350/5695 is 15820.