Least Common Multiple of 84/711, 580/874, 783/203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/711, 580/874, 783/203 quickly i.e. 109620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/711, 580/874, 783/203 is 109620.

LCM(84/711, 580/874, 783/203) = 109620

LCM of 84/711, 580/874, 783/203

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 84/711,580/874,783/203

Given numbers are 84/711,580/874,783/203

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 84,580,783

Least Common Multiple of Numerators i.e. LCM of 84,580,783 is 109620.

GCF of Denominators means GCF of 711,874,203 as per the given fractions.

GCF of 711,874,203 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,580,783

LCM of Fractions 84/711,580/874,783/203 is 109620

2 84, 580, 783
2 42, 290, 783
3 21, 145, 783
29 7, 145, 261
7, 5, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 7 x 5 x 9 = 109620

Least Common Multiple of 84,580,783 with GCF Formula

Least Common Multiple of 84,580,783 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 84,580,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,580,783) = 1

common factors(in case of two or more numbers have common factors) = 348

GCF(84,580,783) x common factors =1 x 348 = 348

LCM(84,580,783) = ( 84 × 580 × 783 ) / 348

LCM(84,580,783) = 38147760 / 348

LCM(84,580,783) = 109620


Lets's calculate GCF of 711,874,203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109620/1

Therefore the LCM of Fractions 84/711,580/874,783/203 is 109620

Greatest Common Factor of 711,874,203 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,874,203 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Greatest Common Factor

We found the factors 711,874,203 . The biggest common factor number is the GCF number.
So the greatest common factor 711,874,203 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 84/711, 580/874, 783/203

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 84/711, 580/874, 783/203?

Answer: LCM of Numerators as per given numbers 84/711, 580/874, 783/203 is

LCM of Numerators i.e. for 84,580,783 is 109620

GCF of denominators i.e. for 711,874,203 is 1.

Thus, LCM of Fractions is 109620.Finally, LCM of Fractions for 84/711, 580/874, 783/203 is 109620.