Least Common Multiple of 66/61, 89/11, 17/94, 95/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 66/61, 89/11, 17/94, 95/221 quickly i.e. 9486510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/61, 89/11, 17/94, 95/221 is 9486510.

LCM(66/61, 89/11, 17/94, 95/221) = 9486510

LCM of 66/61, 89/11, 17/94, 95/221

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 66/61,89/11,17/94,95/221

Given numbers are 66/61,89/11,17/94,95/221

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 66,89,17,95

Least Common Multiple of Numerators i.e. LCM of 66,89,17,95 is 9486510.

GCF of Denominators means GCF of 61,11,94,221 as per the given fractions.

GCF of 61,11,94,221 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,89,17,95

LCM of Fractions 66/61,89/11,17/94,95/221 is 9486510

Given numbers has no common factors except 1. So, there LCM is their product i.e 9486510

Least Common Multiple of 66,89,17,95 with GCF Formula

Least Common Multiple of 66,89,17,95 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 66,89,17,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,89,17,95) = 1

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

GCF(66,89,17,95) x common factors =1 x 1 = 1

LCM(66,89,17,95) = ( 66 × 89 × 17 × 95 ) / 1

LCM(66,89,17,95) = 9486510 / 1

LCM(66,89,17,95) = 9486510


Lets's calculate GCF of 61,11,94,221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9486510/1

Therefore the LCM of Fractions 66/61,89/11,17/94,95/221 is 9486510

Greatest Common Factor of 61,11,94,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,11,94,221 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 61,11,94,221 . The biggest common factor number is the GCF number.
So the greatest common factor 61,11,94,221 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 66/61, 89/11, 17/94, 95/221

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 66/61, 89/11, 17/94, 95/221?

Answer: LCM of Numerators as per given numbers 66/61, 89/11, 17/94, 95/221 is

LCM of Numerators i.e. for 66,89,17,95 is 9486510

GCF of denominators i.e. for 61,11,94,221 is 1.

Thus, LCM of Fractions is 9486510.Finally, LCM of Fractions for 66/61, 89/11, 17/94, 95/221 is 9486510.