Least Common Multiple of 569/84, 642/7105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 569/84, 642/7105 quickly i.e. 365298/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 569/84, 642/7105 is 365298/7.

LCM(569/84, 642/7105) = 365298/7

LCM of 569/84, 642/7105

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 569/84,642/7105

Given numbers are 569/84,642/7105

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 569,642

Least Common Multiple of Numerators i.e. LCM of 569,642 is 365298.

GCF of Denominators means GCF of 84,7105 as per the given fractions.

GCF of 84,7105 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 569,642

LCM of Fractions 569/84,642/7105 is 365298/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 365298

Least Common Multiple of 569,642 with GCF Formula

Least Common Multiple of 569,642 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 569,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,642) = 1

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

GCF(569,642) x common factors =1 x 1 = 1

LCM(569,642) = ( 569 × 642 ) / 1

LCM(569,642) = 365298 / 1

LCM(569,642) = 365298


Lets's calculate GCF of 84,7105

7 84, 7105
12, 1015

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365298/7

Therefore the LCM of Fractions 569/84,642/7105 is 365298/7

Greatest Common Factor of 84,7105 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,7105 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 7105

List of positive integer factors of 7105 that divides 7105 without a remainder.

1,5,7,29,35,49,145,203,245,1015,1421,7105

Greatest Common Factor

We found the factors 84,7105 . The biggest common factor number is the GCF number.
So the greatest common factor 84,7105 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 569/84, 642/7105

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 569/84, 642/7105?

Answer: LCM of Numerators as per given numbers 569/84, 642/7105 is

LCM of Numerators i.e. for 569,642 is 365298

GCF of denominators i.e. for 84,7105 is 7.

Thus, LCM of Fractions is 365298/7.Finally, LCM of Fractions for 569/84, 642/7105 is 365298/7.