Least Common Multiple of 304/154, 9086/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 304/154, 9086/506 quickly i.e. 62776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 304/154, 9086/506 is 62776.

LCM(304/154, 9086/506) = 62776

LCM of 304/154, 9086/506

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 304/154,9086/506

Given numbers are 304/154,9086/506

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 304,9086

Least Common Multiple of Numerators i.e. LCM of 304,9086 is 1381072.

GCF of Denominators means GCF of 154,506 as per the given fractions.

GCF of 154,506 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 304,9086

LCM of Fractions 304/154,9086/506 is 62776

2 304, 9086
152, 4543

∴ So the LCM of the given numbers is 2 x 152 x 4543 = 1381072

Least Common Multiple of 304,9086 with GCF Formula

Least Common Multiple of 304,9086 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 304,9086 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,9086) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(304,9086) x common factors =2 x 1 = 2

LCM(304,9086) = ( 304 × 9086 ) / 2

LCM(304,9086) = 2762144 / 2

LCM(304,9086) = 1381072


Lets's calculate GCF of 154,506

2 154, 506
11 77, 253
7, 23

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1381072/22

Therefore the LCM of Fractions 304/154,9086/506 is 62776

Greatest Common Factor of 154,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,506 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 154,506 . The biggest common factor number is the GCF number.
So the greatest common factor 154,506 is 22.


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 304/154, 9086/506

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 304/154, 9086/506?

Answer: LCM of Numerators as per given numbers 304/154, 9086/506 is

LCM of Numerators i.e. for 304,9086 is 1381072

GCF of denominators i.e. for 154,506 is 22.

Thus, LCM of Fractions is 62776.Finally, LCM of Fractions for 304/154, 9086/506 is 62776.