Least Common Multiple of 899/71, 802/92, 389/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 899/71, 802/92, 389/262 quickly i.e. 280468222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 899/71, 802/92, 389/262 is 280468222.

LCM(899/71, 802/92, 389/262) = 280468222

LCM of 899/71, 802/92, 389/262

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 899/71,802/92,389/262

Given numbers are 899/71,802/92,389/262

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 899,802,389

Least Common Multiple of Numerators i.e. LCM of 899,802,389 is 280468222.

GCF of Denominators means GCF of 71,92,262 as per the given fractions.

GCF of 71,92,262 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 899,802,389

LCM of Fractions 899/71,802/92,389/262 is 280468222

Given numbers has no common factors except 1. So, there LCM is their product i.e 280468222

Least Common Multiple of 899,802,389 with GCF Formula

Least Common Multiple of 899,802,389 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 899,802,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,802,389) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(899,802,389) x common factors =1 x 1 = 1

LCM(899,802,389) = ( 899 × 802 × 389 ) / 1

LCM(899,802,389) = 280468222 / 1

LCM(899,802,389) = 280468222


Lets's calculate GCF of 71,92,262

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280468222/1

Therefore the LCM of Fractions 899/71,802/92,389/262 is 280468222

Greatest Common Factor of 71,92,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,92,262 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 71,92,262 . The biggest common factor number is the GCF number.
So the greatest common factor 71,92,262 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 899/71, 802/92, 389/262

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 899/71, 802/92, 389/262?

Answer: LCM of Numerators as per given numbers 899/71, 802/92, 389/262 is

LCM of Numerators i.e. for 899,802,389 is 280468222

GCF of denominators i.e. for 71,92,262 is 1.

Thus, LCM of Fractions is 280468222.Finally, LCM of Fractions for 899/71, 802/92, 389/262 is 280468222.