Least Common Multiple of 364/106, 859/328, 578/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 364/106, 859/328, 578/850 quickly i.e. 45181682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 364/106, 859/328, 578/850 is 45181682.

LCM(364/106, 859/328, 578/850) = 45181682

LCM of 364/106, 859/328, 578/850

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 364/106,859/328,578/850

Given numbers are 364/106,859/328,578/850

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 364,859,578

Least Common Multiple of Numerators i.e. LCM of 364,859,578 is 90363364.

GCF of Denominators means GCF of 106,328,850 as per the given fractions.

GCF of 106,328,850 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 364,859,578

LCM of Fractions 364/106,859/328,578/850 is 45181682

2 364, 859, 578
182, 859, 289

∴ So the LCM of the given numbers is 2 x 182 x 859 x 289 = 90363364

Least Common Multiple of 364,859,578 with GCF Formula

Least Common Multiple of 364,859,578 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 364,859,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,859,578) = 1

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

GCF(364,859,578) x common factors =1 x 2 = 2

LCM(364,859,578) = ( 364 × 859 × 578 ) / 2

LCM(364,859,578) = 180726728 / 2

LCM(364,859,578) = 90363364


Lets's calculate GCF of 106,328,850

2 106, 328, 850
53, 164, 425

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90363364/2

Therefore the LCM of Fractions 364/106,859/328,578/850 is 45181682

Greatest Common Factor of 106,328,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,328,850 By Matching Biggest Common Factor Method

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 106,328,850 . The biggest common factor number is the GCF number.
So the greatest common factor 106,328,850 is 2.


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 364/106, 859/328, 578/850

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 364/106, 859/328, 578/850?

Answer: LCM of Numerators as per given numbers 364/106, 859/328, 578/850 is

LCM of Numerators i.e. for 364,859,578 is 90363364

GCF of denominators i.e. for 106,328,850 is 2.

Thus, LCM of Fractions is 45181682.Finally, LCM of Fractions for 364/106, 859/328, 578/850 is 45181682.