Least Common Multiple of 746/28, 177/49, 594/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 746/28, 177/49, 594/455 quickly i.e. 13072158/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 746/28, 177/49, 594/455 is 13072158/7.

LCM(746/28, 177/49, 594/455) = 13072158/7

LCM of 746/28, 177/49, 594/455

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 746/28,177/49,594/455

Given numbers are 746/28,177/49,594/455

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 746,177,594

Least Common Multiple of Numerators i.e. LCM of 746,177,594 is 13072158.

GCF of Denominators means GCF of 28,49,455 as per the given fractions.

GCF of 28,49,455 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 746,177,594

LCM of Fractions 746/28,177/49,594/455 is 13072158/7

2 746, 177, 594
3 373, 177, 297
373, 59, 99

∴ So the LCM of the given numbers is 2 x 3 x 373 x 59 x 99 = 13072158

Least Common Multiple of 746,177,594 with GCF Formula

Least Common Multiple of 746,177,594 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 746,177,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,177,594) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(746,177,594) x common factors =1 x 6 = 6

LCM(746,177,594) = ( 746 × 177 × 594 ) / 6

LCM(746,177,594) = 78432948 / 6

LCM(746,177,594) = 13072158


Lets's calculate GCF of 28,49,455

7 28, 49, 455
4, 7, 65

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13072158/7

Therefore the LCM of Fractions 746/28,177/49,594/455 is 13072158/7

Greatest Common Factor of 28,49,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,49,455 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 28,49,455 . The biggest common factor number is the GCF number.
So the greatest common factor 28,49,455 is 7.


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 746/28, 177/49, 594/455

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 746/28, 177/49, 594/455?

Answer: LCM of Numerators as per given numbers 746/28, 177/49, 594/455 is

LCM of Numerators i.e. for 746,177,594 is 13072158

GCF of denominators i.e. for 28,49,455 is 7.

Thus, LCM of Fractions is 13072158/7.Finally, LCM of Fractions for 746/28, 177/49, 594/455 is 13072158/7.