Least Common Multiple of 213/791, 964/789, 910/573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/791, 964/789, 910/573 quickly i.e. 93426060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/791, 964/789, 910/573 is 93426060.

LCM(213/791, 964/789, 910/573) = 93426060

LCM of 213/791, 964/789, 910/573

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 213/791,964/789,910/573

Given numbers are 213/791,964/789,910/573

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 213,964,910

Least Common Multiple of Numerators i.e. LCM of 213,964,910 is 93426060.

GCF of Denominators means GCF of 791,789,573 as per the given fractions.

GCF of 791,789,573 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,964,910

LCM of Fractions 213/791,964/789,910/573 is 93426060

2 213, 964, 910
213, 482, 455

∴ So the LCM of the given numbers is 2 x 213 x 482 x 455 = 93426060

Least Common Multiple of 213,964,910 with GCF Formula

Least Common Multiple of 213,964,910 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 213,964,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,964,910) = 1

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

GCF(213,964,910) x common factors =1 x 2 = 2

LCM(213,964,910) = ( 213 × 964 × 910 ) / 2

LCM(213,964,910) = 186852120 / 2

LCM(213,964,910) = 93426060


Lets's calculate GCF of 791,789,573

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93426060/1

Therefore the LCM of Fractions 213/791,964/789,910/573 is 93426060

Greatest Common Factor of 791,789,573 By Matching Biggest Common Factor Method

Greatest Common Factor of 791,789,573 By Matching Biggest Common Factor Method

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Greatest Common Factor

We found the factors 791,789,573 . The biggest common factor number is the GCF number.
So the greatest common factor 791,789,573 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 213/791, 964/789, 910/573

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 213/791, 964/789, 910/573?

Answer: LCM of Numerators as per given numbers 213/791, 964/789, 910/573 is

LCM of Numerators i.e. for 213,964,910 is 93426060

GCF of denominators i.e. for 791,789,573 is 1.

Thus, LCM of Fractions is 93426060.Finally, LCM of Fractions for 213/791, 964/789, 910/573 is 93426060.