Least Common Multiple of 22/219, 365/684, 766/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/219, 365/684, 766/534 quickly i.e. 3075490/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/219, 365/684, 766/534 is 3075490/3.

LCM(22/219, 365/684, 766/534) = 3075490/3

LCM of 22/219, 365/684, 766/534

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 22/219,365/684,766/534

Given numbers are 22/219,365/684,766/534

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 22,365,766

Least Common Multiple of Numerators i.e. LCM of 22,365,766 is 3075490.

GCF of Denominators means GCF of 219,684,534 as per the given fractions.

GCF of 219,684,534 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,365,766

LCM of Fractions 22/219,365/684,766/534 is 3075490/3

2 22, 365, 766
11, 365, 383

∴ So the LCM of the given numbers is 2 x 11 x 365 x 383 = 3075490

Least Common Multiple of 22,365,766 with GCF Formula

Least Common Multiple of 22,365,766 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 22,365,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,365,766) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(22,365,766) x common factors =1 x 2 = 2

LCM(22,365,766) = ( 22 × 365 × 766 ) / 2

LCM(22,365,766) = 6150980 / 2

LCM(22,365,766) = 3075490


Lets's calculate GCF of 219,684,534

3 219, 684, 534
73, 228, 178

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3075490/3

Therefore the LCM of Fractions 22/219,365/684,766/534 is 3075490/3

Greatest Common Factor of 219,684,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,684,534 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 219,684,534 . The biggest common factor number is the GCF number.
So the greatest common factor 219,684,534 is 3.


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 22/219, 365/684, 766/534

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 22/219, 365/684, 766/534?

Answer: LCM of Numerators as per given numbers 22/219, 365/684, 766/534 is

LCM of Numerators i.e. for 22,365,766 is 3075490

GCF of denominators i.e. for 219,684,534 is 3.

Thus, LCM of Fractions is 3075490/3.Finally, LCM of Fractions for 22/219, 365/684, 766/534 is 3075490/3.