Least Common Multiple of 46/753, 800/414, 375/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/753, 800/414, 375/284 quickly i.e. 276000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/753, 800/414, 375/284 is 276000.

LCM(46/753, 800/414, 375/284) = 276000

LCM of 46/753, 800/414, 375/284

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 46/753,800/414,375/284

Given numbers are 46/753,800/414,375/284

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 46,800,375

Least Common Multiple of Numerators i.e. LCM of 46,800,375 is 276000.

GCF of Denominators means GCF of 753,414,284 as per the given fractions.

GCF of 753,414,284 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,800,375

LCM of Fractions 46/753,800/414,375/284 is 276000

2 46, 800, 375
5 23, 400, 375
5 23, 80, 75
23, 16, 15

∴ So the LCM of the given numbers is 2 x 5 x 5 x 23 x 16 x 15 = 276000

Least Common Multiple of 46,800,375 with GCF Formula

Least Common Multiple of 46,800,375 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 46,800,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,800,375) = 1

common factors(in case of two or more numbers have common factors) = 50

GCF(46,800,375) x common factors =1 x 50 = 50

LCM(46,800,375) = ( 46 × 800 × 375 ) / 50

LCM(46,800,375) = 13800000 / 50

LCM(46,800,375) = 276000


Lets's calculate GCF of 753,414,284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276000/1

Therefore the LCM of Fractions 46/753,800/414,375/284 is 276000

Greatest Common Factor of 753,414,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,414,284 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 753,414,284 . The biggest common factor number is the GCF number.
So the greatest common factor 753,414,284 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 46/753, 800/414, 375/284

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 46/753, 800/414, 375/284?

Answer: LCM of Numerators as per given numbers 46/753, 800/414, 375/284 is

LCM of Numerators i.e. for 46,800,375 is 276000

GCF of denominators i.e. for 753,414,284 is 1.

Thus, LCM of Fractions is 276000.Finally, LCM of Fractions for 46/753, 800/414, 375/284 is 276000.