Least Common Multiple of 814/889, 8262/5873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/889, 8262/5873 quickly i.e. 3362634/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/889, 8262/5873 is 3362634/7.

LCM(814/889, 8262/5873) = 3362634/7

LCM of 814/889, 8262/5873

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 814/889,8262/5873

Given numbers are 814/889,8262/5873

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 814,8262

Least Common Multiple of Numerators i.e. LCM of 814,8262 is 3362634.

GCF of Denominators means GCF of 889,5873 as per the given fractions.

GCF of 889,5873 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,8262

LCM of Fractions 814/889,8262/5873 is 3362634/7

2 814, 8262
407, 4131

∴ So the LCM of the given numbers is 2 x 407 x 4131 = 3362634

Least Common Multiple of 814,8262 with GCF Formula

Least Common Multiple of 814,8262 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 814,8262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,8262) = 2

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

GCF(814,8262) x common factors =2 x 1 = 2

LCM(814,8262) = ( 814 × 8262 ) / 2

LCM(814,8262) = 6725268 / 2

LCM(814,8262) = 3362634


Lets's calculate GCF of 889,5873

7 889, 5873
127, 839

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3362634/7

Therefore the LCM of Fractions 814/889,8262/5873 is 3362634/7

Greatest Common Factor of 889,5873 By Matching Biggest Common Factor Method

Greatest Common Factor of 889,5873 By Matching Biggest Common Factor Method

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 5873

List of positive integer factors of 5873 that divides 5873 without a remainder.

1,7,839,5873

Greatest Common Factor

We found the factors 889,5873 . The biggest common factor number is the GCF number.
So the greatest common factor 889,5873 is 7.


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 814/889, 8262/5873

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 814/889, 8262/5873?

Answer: LCM of Numerators as per given numbers 814/889, 8262/5873 is

LCM of Numerators i.e. for 814,8262 is 3362634

GCF of denominators i.e. for 889,5873 is 7.

Thus, LCM of Fractions is 3362634/7.Finally, LCM of Fractions for 814/889, 8262/5873 is 3362634/7.