Least Common Multiple of 358/44, 122/24, 308/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 358/44, 122/24, 308/226 quickly i.e. 1681526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 358/44, 122/24, 308/226 is 1681526.

LCM(358/44, 122/24, 308/226) = 1681526

LCM of 358/44, 122/24, 308/226

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 358/44,122/24,308/226

Given numbers are 358/44,122/24,308/226

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 358,122,308

Least Common Multiple of Numerators i.e. LCM of 358,122,308 is 3363052.

GCF of Denominators means GCF of 44,24,226 as per the given fractions.

GCF of 44,24,226 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 358,122,308

LCM of Fractions 358/44,122/24,308/226 is 1681526

2 358, 122, 308
179, 61, 154

∴ So the LCM of the given numbers is 2 x 179 x 61 x 154 = 3363052

Least Common Multiple of 358,122,308 with GCF Formula

Least Common Multiple of 358,122,308 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 358,122,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(358,122,308) = 2

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

GCF(358,122,308) x common factors =2 x 2 = 4

LCM(358,122,308) = ( 358 × 122 × 308 ) / 4

LCM(358,122,308) = 13452208 / 4

LCM(358,122,308) = 3363052


Lets's calculate GCF of 44,24,226

2 44, 24, 226
22, 12, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3363052/2

Therefore the LCM of Fractions 358/44,122/24,308/226 is 1681526

Greatest Common Factor of 44,24,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,24,226 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 44,24,226 . The biggest common factor number is the GCF number.
So the greatest common factor 44,24,226 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 358/44, 122/24, 308/226

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 358/44, 122/24, 308/226?

Answer: LCM of Numerators as per given numbers 358/44, 122/24, 308/226 is

LCM of Numerators i.e. for 358,122,308 is 3363052

GCF of denominators i.e. for 44,24,226 is 2.

Thus, LCM of Fractions is 1681526.Finally, LCM of Fractions for 358/44, 122/24, 308/226 is 1681526.