Least Common Multiple of 746/11, 920/21, 453/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 746/11, 920/21, 453/928 quickly i.e. 155451480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 746/11, 920/21, 453/928 is 155451480.

LCM(746/11, 920/21, 453/928) = 155451480

LCM of 746/11, 920/21, 453/928

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 746/11,920/21,453/928

Given numbers are 746/11,920/21,453/928

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 746,920,453

Least Common Multiple of Numerators i.e. LCM of 746,920,453 is 155451480.

GCF of Denominators means GCF of 11,21,928 as per the given fractions.

GCF of 11,21,928 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 746,920,453

LCM of Fractions 746/11,920/21,453/928 is 155451480

2 746, 920, 453
373, 460, 453

∴ So the LCM of the given numbers is 2 x 373 x 460 x 453 = 155451480

Least Common Multiple of 746,920,453 with GCF Formula

Least Common Multiple of 746,920,453 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 746,920,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,920,453) = 1

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

GCF(746,920,453) x common factors =1 x 2 = 2

LCM(746,920,453) = ( 746 × 920 × 453 ) / 2

LCM(746,920,453) = 310902960 / 2

LCM(746,920,453) = 155451480


Lets's calculate GCF of 11,21,928

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155451480/1

Therefore the LCM of Fractions 746/11,920/21,453/928 is 155451480

Greatest Common Factor of 11,21,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,21,928 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 11,21,928 . The biggest common factor number is the GCF number.
So the greatest common factor 11,21,928 is 1.


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 746/11, 920/21, 453/928

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 746/11, 920/21, 453/928?

Answer: LCM of Numerators as per given numbers 746/11, 920/21, 453/928 is

LCM of Numerators i.e. for 746,920,453 is 155451480

GCF of denominators i.e. for 11,21,928 is 1.

Thus, LCM of Fractions is 155451480.Finally, LCM of Fractions for 746/11, 920/21, 453/928 is 155451480.