Least Common Multiple of 869/570, 3008/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 869/570, 3008/798 quickly i.e. 2613952/114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 869/570, 3008/798 is 2613952/114.

LCM(869/570, 3008/798) = 2613952/114

LCM of 869/570, 3008/798

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 869/570,3008/798

Given numbers are 869/570,3008/798

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 869,3008

Least Common Multiple of Numerators i.e. LCM of 869,3008 is 2613952.

GCF of Denominators means GCF of 570,798 as per the given fractions.

GCF of 570,798 is 114 as it is the largest common factor for these numbers.

Lets's calculate LCM of 869,3008

LCM of Fractions 869/570,3008/798 is 2613952/114

Given numbers has no common factors except 1. So, there LCM is their product i.e 2613952

Least Common Multiple of 869,3008 with GCF Formula

Least Common Multiple of 869,3008 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 869,3008 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,3008) = 1

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

GCF(869,3008) x common factors =1 x 1 = 1

LCM(869,3008) = ( 869 × 3008 ) / 1

LCM(869,3008) = 2613952 / 1

LCM(869,3008) = 2613952


Lets's calculate GCF of 570,798

2 570, 798
3 285, 399
19 95, 133
5, 7

∴ So the GCF of the given numbers is 2 x 3 x 19 = 114

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2613952/114

Therefore the LCM of Fractions 869/570,3008/798 is 2613952/114

Greatest Common Factor of 570,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,798 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 570,798 . The biggest common factor number is the GCF number.
So the greatest common factor 570,798 is 114.


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 869/570, 3008/798

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 869/570, 3008/798?

Answer: LCM of Numerators as per given numbers 869/570, 3008/798 is

LCM of Numerators i.e. for 869,3008 is 2613952

GCF of denominators i.e. for 570,798 is 114.

Thus, LCM of Fractions is 2613952/114.Finally, LCM of Fractions for 869/570, 3008/798 is 2613952/114.