Least Common Multiple of 552/128, 395/716, 368/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 552/128, 395/716, 368/197 quickly i.e. 436080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 552/128, 395/716, 368/197 is 436080.

LCM(552/128, 395/716, 368/197) = 436080

LCM of 552/128, 395/716, 368/197

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 552/128,395/716,368/197

Given numbers are 552/128,395/716,368/197

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 552,395,368

Least Common Multiple of Numerators i.e. LCM of 552,395,368 is 436080.

GCF of Denominators means GCF of 128,716,197 as per the given fractions.

GCF of 128,716,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 552,395,368

LCM of Fractions 552/128,395/716,368/197 is 436080

2 552, 395, 368
2 276, 395, 184
2 138, 395, 92
23 69, 395, 46
3, 395, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 3 x 395 x 2 = 436080

Least Common Multiple of 552,395,368 with GCF Formula

Least Common Multiple of 552,395,368 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 552,395,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,395,368) = 1

common factors(in case of two or more numbers have common factors) = 184

GCF(552,395,368) x common factors =1 x 184 = 184

LCM(552,395,368) = ( 552 × 395 × 368 ) / 184

LCM(552,395,368) = 80238720 / 184

LCM(552,395,368) = 436080


Lets's calculate GCF of 128,716,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 436080/1

Therefore the LCM of Fractions 552/128,395/716,368/197 is 436080

Greatest Common Factor of 128,716,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,716,197 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 128,716,197 . The biggest common factor number is the GCF number.
So the greatest common factor 128,716,197 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 552/128, 395/716, 368/197

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 552/128, 395/716, 368/197?

Answer: LCM of Numerators as per given numbers 552/128, 395/716, 368/197 is

LCM of Numerators i.e. for 552,395,368 is 436080

GCF of denominators i.e. for 128,716,197 is 1.

Thus, LCM of Fractions is 436080.Finally, LCM of Fractions for 552/128, 395/716, 368/197 is 436080.