Least Common Multiple of 45/928, 478/933, 464/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/928, 478/933, 464/130 quickly i.e. 4990320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/928, 478/933, 464/130 is 4990320.

LCM(45/928, 478/933, 464/130) = 4990320

LCM of 45/928, 478/933, 464/130

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 45/928,478/933,464/130

Given numbers are 45/928,478/933,464/130

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 45,478,464

Least Common Multiple of Numerators i.e. LCM of 45,478,464 is 4990320.

GCF of Denominators means GCF of 928,933,130 as per the given fractions.

GCF of 928,933,130 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,478,464

LCM of Fractions 45/928,478/933,464/130 is 4990320

2 45, 478, 464
45, 239, 232

∴ So the LCM of the given numbers is 2 x 45 x 239 x 232 = 4990320

Least Common Multiple of 45,478,464 with GCF Formula

Least Common Multiple of 45,478,464 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 45,478,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,478,464) = 1

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

GCF(45,478,464) x common factors =1 x 2 = 2

LCM(45,478,464) = ( 45 × 478 × 464 ) / 2

LCM(45,478,464) = 9980640 / 2

LCM(45,478,464) = 4990320


Lets's calculate GCF of 928,933,130

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4990320/1

Therefore the LCM of Fractions 45/928,478/933,464/130 is 4990320

Greatest Common Factor of 928,933,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,933,130 By Matching Biggest Common Factor Method

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

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 928,933,130 . The biggest common factor number is the GCF number.
So the greatest common factor 928,933,130 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 45/928, 478/933, 464/130

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 45/928, 478/933, 464/130?

Answer: LCM of Numerators as per given numbers 45/928, 478/933, 464/130 is

LCM of Numerators i.e. for 45,478,464 is 4990320

GCF of denominators i.e. for 928,933,130 is 1.

Thus, LCM of Fractions is 4990320.Finally, LCM of Fractions for 45/928, 478/933, 464/130 is 4990320.