Least Common Multiple of 800/160, 5062/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 800/160, 5062/356 quickly i.e. 506200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 800/160, 5062/356 is 506200.

LCM(800/160, 5062/356) = 506200

LCM of 800/160, 5062/356

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 800/160,5062/356

Given numbers are 800/160,5062/356

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 800,5062

Least Common Multiple of Numerators i.e. LCM of 800,5062 is 2024800.

GCF of Denominators means GCF of 160,356 as per the given fractions.

GCF of 160,356 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 800,5062

LCM of Fractions 800/160,5062/356 is 506200

2 800, 5062
400, 2531

∴ So the LCM of the given numbers is 2 x 400 x 2531 = 2024800

Least Common Multiple of 800,5062 with GCF Formula

Least Common Multiple of 800,5062 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 800,5062 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,5062) = 2

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

GCF(800,5062) x common factors =2 x 1 = 2

LCM(800,5062) = ( 800 × 5062 ) / 2

LCM(800,5062) = 4049600 / 2

LCM(800,5062) = 2024800


Lets's calculate GCF of 160,356

2 160, 356
2 80, 178
40, 89

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2024800/4

Therefore the LCM of Fractions 800/160,5062/356 is 506200

Greatest Common Factor of 160,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,356 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Greatest Common Factor

We found the factors 160,356 . The biggest common factor number is the GCF number.
So the greatest common factor 160,356 is 4.


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 800/160, 5062/356

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 800/160, 5062/356?

Answer: LCM of Numerators as per given numbers 800/160, 5062/356 is

LCM of Numerators i.e. for 800,5062 is 2024800

GCF of denominators i.e. for 160,356 is 4.

Thus, LCM of Fractions is 506200.Finally, LCM of Fractions for 800/160, 5062/356 is 506200.