Least Common Multiple of 46/304, 266/674, 337/376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/304, 266/674, 337/376 quickly i.e. 1030883 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/304, 266/674, 337/376 is 1030883.

LCM(46/304, 266/674, 337/376) = 1030883

LCM of 46/304, 266/674, 337/376

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 46/304,266/674,337/376

Given numbers are 46/304,266/674,337/376

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 46,266,337

Least Common Multiple of Numerators i.e. LCM of 46,266,337 is 2061766.

GCF of Denominators means GCF of 304,674,376 as per the given fractions.

GCF of 304,674,376 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,266,337

LCM of Fractions 46/304,266/674,337/376 is 1030883

2 46, 266, 337
23, 133, 337

∴ So the LCM of the given numbers is 2 x 23 x 133 x 337 = 2061766

Least Common Multiple of 46,266,337 with GCF Formula

Least Common Multiple of 46,266,337 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 46,266,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,266,337) = 1

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

GCF(46,266,337) x common factors =1 x 2 = 2

LCM(46,266,337) = ( 46 × 266 × 337 ) / 2

LCM(46,266,337) = 4123532 / 2

LCM(46,266,337) = 2061766


Lets's calculate GCF of 304,674,376

2 304, 674, 376
152, 337, 188

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2061766/2

Therefore the LCM of Fractions 46/304,266/674,337/376 is 1030883

Greatest Common Factor of 304,674,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,674,376 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 304,674,376 . The biggest common factor number is the GCF number.
So the greatest common factor 304,674,376 is 2.


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 46/304, 266/674, 337/376

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 46/304, 266/674, 337/376?

Answer: LCM of Numerators as per given numbers 46/304, 266/674, 337/376 is

LCM of Numerators i.e. for 46,266,337 is 2061766

GCF of denominators i.e. for 304,674,376 is 2.

Thus, LCM of Fractions is 1030883.Finally, LCM of Fractions for 46/304, 266/674, 337/376 is 1030883.