Least Common Multiple of 74/364, 78/645, 285/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/364, 78/645, 285/833 quickly i.e. 274170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/364, 78/645, 285/833 is 274170.

LCM(74/364, 78/645, 285/833) = 274170

LCM of 74/364, 78/645, 285/833

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 74/364,78/645,285/833

Given numbers are 74/364,78/645,285/833

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 74,78,285

Least Common Multiple of Numerators i.e. LCM of 74,78,285 is 274170.

GCF of Denominators means GCF of 364,645,833 as per the given fractions.

GCF of 364,645,833 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,78,285

LCM of Fractions 74/364,78/645,285/833 is 274170

2 74, 78, 285
3 37, 39, 285
37, 13, 95

∴ So the LCM of the given numbers is 2 x 3 x 37 x 13 x 95 = 274170

Least Common Multiple of 74,78,285 with GCF Formula

Least Common Multiple of 74,78,285 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 74,78,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,78,285) = 1

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

GCF(74,78,285) x common factors =1 x 6 = 6

LCM(74,78,285) = ( 74 × 78 × 285 ) / 6

LCM(74,78,285) = 1645020 / 6

LCM(74,78,285) = 274170


Lets's calculate GCF of 364,645,833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274170/1

Therefore the LCM of Fractions 74/364,78/645,285/833 is 274170

Greatest Common Factor of 364,645,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,645,833 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Greatest Common Factor

We found the factors 364,645,833 . The biggest common factor number is the GCF number.
So the greatest common factor 364,645,833 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 74/364, 78/645, 285/833

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 74/364, 78/645, 285/833?

Answer: LCM of Numerators as per given numbers 74/364, 78/645, 285/833 is

LCM of Numerators i.e. for 74,78,285 is 274170

GCF of denominators i.e. for 364,645,833 is 1.

Thus, LCM of Fractions is 274170.Finally, LCM of Fractions for 74/364, 78/645, 285/833 is 274170.