Least Common Multiple of 78/222, 213/586, 913/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/222, 213/586, 913/428 quickly i.e. 2528097 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/222, 213/586, 913/428 is 2528097.

LCM(78/222, 213/586, 913/428) = 2528097

LCM of 78/222, 213/586, 913/428

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 78/222,213/586,913/428

Given numbers are 78/222,213/586,913/428

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 78,213,913

Least Common Multiple of Numerators i.e. LCM of 78,213,913 is 5056194.

GCF of Denominators means GCF of 222,586,428 as per the given fractions.

GCF of 222,586,428 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,213,913

LCM of Fractions 78/222,213/586,913/428 is 2528097

3 78, 213, 913
26, 71, 913

∴ So the LCM of the given numbers is 3 x 26 x 71 x 913 = 5056194

Least Common Multiple of 78,213,913 with GCF Formula

Least Common Multiple of 78,213,913 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 78,213,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,213,913) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(78,213,913) x common factors =1 x 3 = 3

LCM(78,213,913) = ( 78 × 213 × 913 ) / 3

LCM(78,213,913) = 15168582 / 3

LCM(78,213,913) = 5056194


Lets's calculate GCF of 222,586,428

2 222, 586, 428
111, 293, 214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5056194/2

Therefore the LCM of Fractions 78/222,213/586,913/428 is 2528097

Greatest Common Factor of 222,586,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,586,428 By Matching Biggest Common Factor Method

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 222,586,428 . The biggest common factor number is the GCF number.
So the greatest common factor 222,586,428 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 78/222, 213/586, 913/428

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 78/222, 213/586, 913/428?

Answer: LCM of Numerators as per given numbers 78/222, 213/586, 913/428 is

LCM of Numerators i.e. for 78,213,913 is 5056194

GCF of denominators i.e. for 222,586,428 is 2.

Thus, LCM of Fractions is 2528097.Finally, LCM of Fractions for 78/222, 213/586, 913/428 is 2528097.