Least Common Multiple of 46/354, 11/226, 627/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/354, 11/226, 627/510 quickly i.e. 14421 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/354, 11/226, 627/510 is 14421.

LCM(46/354, 11/226, 627/510) = 14421

LCM of 46/354, 11/226, 627/510

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 46/354,11/226,627/510

Given numbers are 46/354,11/226,627/510

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 46,11,627

Least Common Multiple of Numerators i.e. LCM of 46,11,627 is 28842.

GCF of Denominators means GCF of 354,226,510 as per the given fractions.

GCF of 354,226,510 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,11,627

LCM of Fractions 46/354,11/226,627/510 is 14421

11 46, 11, 627
46, 1, 57

∴ So the LCM of the given numbers is 11 x 46 x 1 x 57 = 28842

Least Common Multiple of 46,11,627 with GCF Formula

Least Common Multiple of 46,11,627 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 46,11,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,11,627) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(46,11,627) x common factors =1 x 11 = 11

LCM(46,11,627) = ( 46 × 11 × 627 ) / 11

LCM(46,11,627) = 317262 / 11

LCM(46,11,627) = 28842


Lets's calculate GCF of 354,226,510

2 354, 226, 510
177, 113, 255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28842/2

Therefore the LCM of Fractions 46/354,11/226,627/510 is 14421

Greatest Common Factor of 354,226,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,226,510 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 226

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

1,2,113,226

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 354,226,510 . The biggest common factor number is the GCF number.
So the greatest common factor 354,226,510 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 46/354, 11/226, 627/510

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 46/354, 11/226, 627/510?

Answer: LCM of Numerators as per given numbers 46/354, 11/226, 627/510 is

LCM of Numerators i.e. for 46,11,627 is 28842

GCF of denominators i.e. for 354,226,510 is 2.

Thus, LCM of Fractions is 14421.Finally, LCM of Fractions for 46/354, 11/226, 627/510 is 14421.