Least Common Multiple of 55/60, 99/94, 67/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/60, 99/94, 67/679 quickly i.e. 33165 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/60, 99/94, 67/679 is 33165.

LCM(55/60, 99/94, 67/679) = 33165

LCM of 55/60, 99/94, 67/679

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 55/60,99/94,67/679

Given numbers are 55/60,99/94,67/679

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 55,99,67

Least Common Multiple of Numerators i.e. LCM of 55,99,67 is 33165.

GCF of Denominators means GCF of 60,94,679 as per the given fractions.

GCF of 60,94,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,99,67

LCM of Fractions 55/60,99/94,67/679 is 33165

11 55, 99, 67
5, 9, 67

∴ So the LCM of the given numbers is 11 x 5 x 9 x 67 = 33165

Least Common Multiple of 55,99,67 with GCF Formula

Least Common Multiple of 55,99,67 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 55,99,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,99,67) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(55,99,67) x common factors =1 x 11 = 11

LCM(55,99,67) = ( 55 × 99 × 67 ) / 11

LCM(55,99,67) = 364815 / 11

LCM(55,99,67) = 33165


Lets's calculate GCF of 60,94,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33165/1

Therefore the LCM of Fractions 55/60,99/94,67/679 is 33165

Greatest Common Factor of 60,94,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,94,679 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 94

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

1,2,47,94

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 60,94,679 . The biggest common factor number is the GCF number.
So the greatest common factor 60,94,679 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/60, 99/94, 67/679

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 55/60, 99/94, 67/679?

Answer: LCM of Numerators as per given numbers 55/60, 99/94, 67/679 is

LCM of Numerators i.e. for 55,99,67 is 33165

GCF of denominators i.e. for 60,94,679 is 1.

Thus, LCM of Fractions is 33165.Finally, LCM of Fractions for 55/60, 99/94, 67/679 is 33165.