Least Common Multiple of 254/46, 386/88, 758/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 254/46, 386/88, 758/158 quickly i.e. 9289669 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 254/46, 386/88, 758/158 is 9289669.

LCM(254/46, 386/88, 758/158) = 9289669

LCM of 254/46, 386/88, 758/158

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 254/46,386/88,758/158

Given numbers are 254/46,386/88,758/158

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 254,386,758

Least Common Multiple of Numerators i.e. LCM of 254,386,758 is 18579338.

GCF of Denominators means GCF of 46,88,158 as per the given fractions.

GCF of 46,88,158 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 254,386,758

LCM of Fractions 254/46,386/88,758/158 is 9289669

2 254, 386, 758
127, 193, 379

∴ So the LCM of the given numbers is 2 x 127 x 193 x 379 = 18579338

Least Common Multiple of 254,386,758 with GCF Formula

Least Common Multiple of 254,386,758 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 254,386,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,386,758) = 2

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

GCF(254,386,758) x common factors =2 x 2 = 4

LCM(254,386,758) = ( 254 × 386 × 758 ) / 4

LCM(254,386,758) = 74317352 / 4

LCM(254,386,758) = 18579338


Lets's calculate GCF of 46,88,158

2 46, 88, 158
23, 44, 79

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18579338/2

Therefore the LCM of Fractions 254/46,386/88,758/158 is 9289669

Greatest Common Factor of 46,88,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,88,158 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 46,88,158 . The biggest common factor number is the GCF number.
So the greatest common factor 46,88,158 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 254/46, 386/88, 758/158

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 254/46, 386/88, 758/158?

Answer: LCM of Numerators as per given numbers 254/46, 386/88, 758/158 is

LCM of Numerators i.e. for 254,386,758 is 18579338

GCF of denominators i.e. for 46,88,158 is 2.

Thus, LCM of Fractions is 9289669.Finally, LCM of Fractions for 254/46, 386/88, 758/158 is 9289669.