Least Common Multiple of 8638/770, 5018/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8638/770, 5018/856 quickly i.e. 10836371 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8638/770, 5018/856 is 10836371.

LCM(8638/770, 5018/856) = 10836371

LCM of 8638/770, 5018/856

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 8638/770,5018/856

Given numbers are 8638/770,5018/856

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 8638,5018

Least Common Multiple of Numerators i.e. LCM of 8638,5018 is 21672742.

GCF of Denominators means GCF of 770,856 as per the given fractions.

GCF of 770,856 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8638,5018

LCM of Fractions 8638/770,5018/856 is 10836371

2 8638, 5018
4319, 2509

∴ So the LCM of the given numbers is 2 x 4319 x 2509 = 21672742

Least Common Multiple of 8638,5018 with GCF Formula

Least Common Multiple of 8638,5018 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 8638,5018 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8638,5018) = 2

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

GCF(8638,5018) x common factors =2 x 1 = 2

LCM(8638,5018) = ( 8638 × 5018 ) / 2

LCM(8638,5018) = 43345484 / 2

LCM(8638,5018) = 21672742


Lets's calculate GCF of 770,856

2 770, 856
385, 428

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21672742/2

Therefore the LCM of Fractions 8638/770,5018/856 is 10836371

Greatest Common Factor of 770,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,856 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 770,856 . The biggest common factor number is the GCF number.
So the greatest common factor 770,856 is 2.


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 8638/770, 5018/856

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 8638/770, 5018/856?

Answer: LCM of Numerators as per given numbers 8638/770, 5018/856 is

LCM of Numerators i.e. for 8638,5018 is 21672742

GCF of denominators i.e. for 770,856 is 2.

Thus, LCM of Fractions is 10836371.Finally, LCM of Fractions for 8638/770, 5018/856 is 10836371.