Least Common Multiple of 668/60, 411/70, 197/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 668/60, 411/70, 197/554 quickly i.e. 27042978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 668/60, 411/70, 197/554 is 27042978.

LCM(668/60, 411/70, 197/554) = 27042978

LCM of 668/60, 411/70, 197/554

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 668/60,411/70,197/554

Given numbers are 668/60,411/70,197/554

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 668,411,197

Least Common Multiple of Numerators i.e. LCM of 668,411,197 is 54085956.

GCF of Denominators means GCF of 60,70,554 as per the given fractions.

GCF of 60,70,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 668,411,197

LCM of Fractions 668/60,411/70,197/554 is 27042978

Given numbers has no common factors except 1. So, there LCM is their product i.e 54085956

Least Common Multiple of 668,411,197 with GCF Formula

Least Common Multiple of 668,411,197 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 668,411,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,411,197) = 1

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

GCF(668,411,197) x common factors =1 x 1 = 1

LCM(668,411,197) = ( 668 × 411 × 197 ) / 1

LCM(668,411,197) = 54085956 / 1

LCM(668,411,197) = 54085956


Lets's calculate GCF of 60,70,554

2 60, 70, 554
30, 35, 277

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54085956/2

Therefore the LCM of Fractions 668/60,411/70,197/554 is 27042978

Greatest Common Factor of 60,70,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,70,554 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 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 60,70,554 . The biggest common factor number is the GCF number.
So the greatest common factor 60,70,554 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 668/60, 411/70, 197/554

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 668/60, 411/70, 197/554?

Answer: LCM of Numerators as per given numbers 668/60, 411/70, 197/554 is

LCM of Numerators i.e. for 668,411,197 is 54085956

GCF of denominators i.e. for 60,70,554 is 2.

Thus, LCM of Fractions is 27042978.Finally, LCM of Fractions for 668/60, 411/70, 197/554 is 27042978.