Least Common Multiple of 822/343, 859/138, 737/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/343, 859/138, 737/100 quickly i.e. 520394226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/343, 859/138, 737/100 is 520394226.

LCM(822/343, 859/138, 737/100) = 520394226

LCM of 822/343, 859/138, 737/100

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 822/343,859/138,737/100

Given numbers are 822/343,859/138,737/100

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 822,859,737

Least Common Multiple of Numerators i.e. LCM of 822,859,737 is 520394226.

GCF of Denominators means GCF of 343,138,100 as per the given fractions.

GCF of 343,138,100 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,859,737

LCM of Fractions 822/343,859/138,737/100 is 520394226

Given numbers has no common factors except 1. So, there LCM is their product i.e 520394226

Least Common Multiple of 822,859,737 with GCF Formula

Least Common Multiple of 822,859,737 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 822,859,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,859,737) = 1

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

GCF(822,859,737) x common factors =1 x 1 = 1

LCM(822,859,737) = ( 822 × 859 × 737 ) / 1

LCM(822,859,737) = 520394226 / 1

LCM(822,859,737) = 520394226


Lets's calculate GCF of 343,138,100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 520394226/1

Therefore the LCM of Fractions 822/343,859/138,737/100 is 520394226

Greatest Common Factor of 343,138,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,138,100 By Matching Biggest Common Factor Method

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 343,138,100 . The biggest common factor number is the GCF number.
So the greatest common factor 343,138,100 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 822/343, 859/138, 737/100

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 822/343, 859/138, 737/100?

Answer: LCM of Numerators as per given numbers 822/343, 859/138, 737/100 is

LCM of Numerators i.e. for 822,859,737 is 520394226

GCF of denominators i.e. for 343,138,100 is 1.

Thus, LCM of Fractions is 520394226.Finally, LCM of Fractions for 822/343, 859/138, 737/100 is 520394226.