Least Common Multiple of 569/21, 196/69, 874/90

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 569/21, 196/69, 874/90 quickly i.e. 48735988/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 569/21, 196/69, 874/90 is 48735988/3.

LCM(569/21, 196/69, 874/90) = 48735988/3

LCM of 569/21, 196/69, 874/90

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 569/21,196/69,874/90

Given numbers are 569/21,196/69,874/90

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 569,196,874

Least Common Multiple of Numerators i.e. LCM of 569,196,874 is 48735988.

GCF of Denominators means GCF of 21,69,90 as per the given fractions.

GCF of 21,69,90 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 569,196,874

LCM of Fractions 569/21,196/69,874/90 is 48735988/3

2 569, 196, 874
569, 98, 437

∴ So the LCM of the given numbers is 2 x 569 x 98 x 437 = 48735988

Least Common Multiple of 569,196,874 with GCF Formula

Least Common Multiple of 569,196,874 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 569,196,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,196,874) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(569,196,874) x common factors =1 x 2 = 2

LCM(569,196,874) = ( 569 × 196 × 874 ) / 2

LCM(569,196,874) = 97471976 / 2

LCM(569,196,874) = 48735988


Lets's calculate GCF of 21,69,90

3 21, 69, 90
7, 23, 30

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48735988/3

Therefore the LCM of Fractions 569/21,196/69,874/90 is 48735988/3

Greatest Common Factor of 21,69,90 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,69,90 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Greatest Common Factor

We found the factors 21,69,90 . The biggest common factor number is the GCF number.
So the greatest common factor 21,69,90 is 3.


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 569/21, 196/69, 874/90

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 569/21, 196/69, 874/90?

Answer: LCM of Numerators as per given numbers 569/21, 196/69, 874/90 is

LCM of Numerators i.e. for 569,196,874 is 48735988

GCF of denominators i.e. for 21,69,90 is 3.

Thus, LCM of Fractions is 48735988/3.Finally, LCM of Fractions for 569/21, 196/69, 874/90 is 48735988/3.