Least Common Multiple of 891/10, 840/17, 792/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 891/10, 840/17, 792/586 quickly i.e. 249480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 891/10, 840/17, 792/586 is 249480.

LCM(891/10, 840/17, 792/586) = 249480

LCM of 891/10, 840/17, 792/586

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 891/10,840/17,792/586

Given numbers are 891/10,840/17,792/586

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 891,840,792

Least Common Multiple of Numerators i.e. LCM of 891,840,792 is 249480.

GCF of Denominators means GCF of 10,17,586 as per the given fractions.

GCF of 10,17,586 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 891,840,792

LCM of Fractions 891/10,840/17,792/586 is 249480

2 891, 840, 792
2 891, 420, 396
2 891, 210, 198
3 891, 105, 99
3 297, 35, 33
11 99, 35, 11
9, 35, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 11 x 9 x 35 x 1 = 249480

Least Common Multiple of 891,840,792 with GCF Formula

Least Common Multiple of 891,840,792 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 891,840,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,840,792) = 3

common factors(in case of two or more numbers have common factors) = 792

GCF(891,840,792) x common factors =3 x 792 = 2376

LCM(891,840,792) = ( 891 × 840 × 792 ) / 2376

LCM(891,840,792) = 592764480 / 2376

LCM(891,840,792) = 249480


Lets's calculate GCF of 10,17,586

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249480/1

Therefore the LCM of Fractions 891/10,840/17,792/586 is 249480

Greatest Common Factor of 10,17,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,17,586 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 586

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

1,2,293,586

Greatest Common Factor

We found the factors 10,17,586 . The biggest common factor number is the GCF number.
So the greatest common factor 10,17,586 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 891/10, 840/17, 792/586

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 891/10, 840/17, 792/586?

Answer: LCM of Numerators as per given numbers 891/10, 840/17, 792/586 is

LCM of Numerators i.e. for 891,840,792 is 249480

GCF of denominators i.e. for 10,17,586 is 1.

Thus, LCM of Fractions is 249480.Finally, LCM of Fractions for 891/10, 840/17, 792/586 is 249480.