Least Common Multiple of 552/817, 678/328, 822/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 552/817, 678/328, 822/346 quickly i.e. 8545512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 552/817, 678/328, 822/346 is 8545512.

LCM(552/817, 678/328, 822/346) = 8545512

LCM of 552/817, 678/328, 822/346

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 552/817,678/328,822/346

Given numbers are 552/817,678/328,822/346

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 552,678,822

Least Common Multiple of Numerators i.e. LCM of 552,678,822 is 8545512.

GCF of Denominators means GCF of 817,328,346 as per the given fractions.

GCF of 817,328,346 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 552,678,822

LCM of Fractions 552/817,678/328,822/346 is 8545512

2 552, 678, 822
3 276, 339, 411
92, 113, 137

∴ So the LCM of the given numbers is 2 x 3 x 92 x 113 x 137 = 8545512

Least Common Multiple of 552,678,822 with GCF Formula

Least Common Multiple of 552,678,822 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 552,678,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,678,822) = 6

common factors(in case of two or more numbers have common factors) = 6

GCF(552,678,822) x common factors =6 x 6 = 36

LCM(552,678,822) = ( 552 × 678 × 822 ) / 36

LCM(552,678,822) = 307638432 / 36

LCM(552,678,822) = 8545512


Lets's calculate GCF of 817,328,346

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8545512/1

Therefore the LCM of Fractions 552/817,678/328,822/346 is 8545512

Greatest Common Factor of 817,328,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,328,346 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 817,328,346 . The biggest common factor number is the GCF number.
So the greatest common factor 817,328,346 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 552/817, 678/328, 822/346

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 552/817, 678/328, 822/346?

Answer: LCM of Numerators as per given numbers 552/817, 678/328, 822/346 is

LCM of Numerators i.e. for 552,678,822 is 8545512

GCF of denominators i.e. for 817,328,346 is 1.

Thus, LCM of Fractions is 8545512.Finally, LCM of Fractions for 552/817, 678/328, 822/346 is 8545512.