Least Common Multiple of 569/70, 743/7884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 569/70, 743/7884 quickly i.e. 422767/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 569/70, 743/7884 is 422767/2.

LCM(569/70, 743/7884) = 422767/2

LCM of 569/70, 743/7884

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 569/70,743/7884

Given numbers are 569/70,743/7884

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 569,743

Least Common Multiple of Numerators i.e. LCM of 569,743 is 422767.

GCF of Denominators means GCF of 70,7884 as per the given fractions.

GCF of 70,7884 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 569,743

LCM of Fractions 569/70,743/7884 is 422767/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 422767

Least Common Multiple of 569,743 with GCF Formula

Least Common Multiple of 569,743 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 569,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,743) = 1

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

GCF(569,743) x common factors =1 x 1 = 1

LCM(569,743) = ( 569 × 743 ) / 1

LCM(569,743) = 422767 / 1

LCM(569,743) = 422767


Lets's calculate GCF of 70,7884

2 70, 7884
35, 3942

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 422767/2

Therefore the LCM of Fractions 569/70,743/7884 is 422767/2

Greatest Common Factor of 70,7884 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,7884 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 7884

List of positive integer factors of 7884 that divides 7884 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,73,108,146,219,292,438,657,876,1314,1971,2628,3942,7884

Greatest Common Factor

We found the factors 70,7884 . The biggest common factor number is the GCF number.
So the greatest common factor 70,7884 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 569/70, 743/7884

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 569/70, 743/7884?

Answer: LCM of Numerators as per given numbers 569/70, 743/7884 is

LCM of Numerators i.e. for 569,743 is 422767

GCF of denominators i.e. for 70,7884 is 2.

Thus, LCM of Fractions is 422767/2.Finally, LCM of Fractions for 569/70, 743/7884 is 422767/2.