Least Common Multiple of 90/97, 30/66, 34/86, 69/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/97, 30/66, 34/86, 69/838 quickly i.e. 35190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/97, 30/66, 34/86, 69/838 is 35190.

LCM(90/97, 30/66, 34/86, 69/838) = 35190

LCM of 90/97, 30/66, 34/86, 69/838

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 90/97,30/66,34/86,69/838

Given numbers are 90/97,30/66,34/86,69/838

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 90,30,34,69

Least Common Multiple of Numerators i.e. LCM of 90,30,34,69 is 35190.

GCF of Denominators means GCF of 97,66,86,838 as per the given fractions.

GCF of 97,66,86,838 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,30,34,69

LCM of Fractions 90/97,30/66,34/86,69/838 is 35190

2 90, 30, 34, 69
3 45, 15, 17, 69
5 5, 15, 17, 23
1, 3, 17, 23

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 3 x 17 x 23 = 35190

Least Common Multiple of 90,30,34,69 with GCF Formula

Least Common Multiple of 90,30,34,69 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 90,30,34,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,30,34,69) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(90,30,34,69) x common factors =1 x 180 = 180

LCM(90,30,34,69) = ( 90 × 30 × 34 × 69 ) / 180

LCM(90,30,34,69) = 6334200 / 180

LCM(90,30,34,69) = 35190


Lets's calculate GCF of 97,66,86,838

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35190/1

Therefore the LCM of Fractions 90/97,30/66,34/86,69/838 is 35190

Greatest Common Factor of 97,66,86,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,66,86,838 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 97,66,86,838 . The biggest common factor number is the GCF number.
So the greatest common factor 97,66,86,838 is 1.


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 90/97, 30/66, 34/86, 69/838

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 90/97, 30/66, 34/86, 69/838?

Answer: LCM of Numerators as per given numbers 90/97, 30/66, 34/86, 69/838 is

LCM of Numerators i.e. for 90,30,34,69 is 35190

GCF of denominators i.e. for 97,66,86,838 is 1.

Thus, LCM of Fractions is 35190.Finally, LCM of Fractions for 90/97, 30/66, 34/86, 69/838 is 35190.