Least Common Multiple of 222/74, 920/26, 183/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 222/74, 920/26, 183/313 quickly i.e. 6229320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 222/74, 920/26, 183/313 is 6229320.

LCM(222/74, 920/26, 183/313) = 6229320

LCM of 222/74, 920/26, 183/313

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 222/74,920/26,183/313

Given numbers are 222/74,920/26,183/313

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 222,920,183

Least Common Multiple of Numerators i.e. LCM of 222,920,183 is 6229320.

GCF of Denominators means GCF of 74,26,313 as per the given fractions.

GCF of 74,26,313 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 222,920,183

LCM of Fractions 222/74,920/26,183/313 is 6229320

2 222, 920, 183
3 111, 460, 183
37, 460, 61

∴ So the LCM of the given numbers is 2 x 3 x 37 x 460 x 61 = 6229320

Least Common Multiple of 222,920,183 with GCF Formula

Least Common Multiple of 222,920,183 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 222,920,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,920,183) = 1

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

GCF(222,920,183) x common factors =1 x 6 = 6

LCM(222,920,183) = ( 222 × 920 × 183 ) / 6

LCM(222,920,183) = 37375920 / 6

LCM(222,920,183) = 6229320


Lets's calculate GCF of 74,26,313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6229320/1

Therefore the LCM of Fractions 222/74,920/26,183/313 is 6229320

Greatest Common Factor of 74,26,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,26,313 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 74,26,313 . The biggest common factor number is the GCF number.
So the greatest common factor 74,26,313 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 222/74, 920/26, 183/313

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 222/74, 920/26, 183/313?

Answer: LCM of Numerators as per given numbers 222/74, 920/26, 183/313 is

LCM of Numerators i.e. for 222,920,183 is 6229320

GCF of denominators i.e. for 74,26,313 is 1.

Thus, LCM of Fractions is 6229320.Finally, LCM of Fractions for 222/74, 920/26, 183/313 is 6229320.