Least Common Multiple of 161/32, 197/42, 656/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 161/32, 197/42, 656/152 quickly i.e. 10403176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 161/32, 197/42, 656/152 is 10403176.

LCM(161/32, 197/42, 656/152) = 10403176

LCM of 161/32, 197/42, 656/152

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 161/32,197/42,656/152

Given numbers are 161/32,197/42,656/152

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 161,197,656

Least Common Multiple of Numerators i.e. LCM of 161,197,656 is 20806352.

GCF of Denominators means GCF of 32,42,152 as per the given fractions.

GCF of 32,42,152 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 161,197,656

LCM of Fractions 161/32,197/42,656/152 is 10403176

Given numbers has no common factors except 1. So, there LCM is their product i.e 20806352

Least Common Multiple of 161,197,656 with GCF Formula

Least Common Multiple of 161,197,656 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 161,197,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(161,197,656) = 1

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

GCF(161,197,656) x common factors =1 x 1 = 1

LCM(161,197,656) = ( 161 × 197 × 656 ) / 1

LCM(161,197,656) = 20806352 / 1

LCM(161,197,656) = 20806352


Lets's calculate GCF of 32,42,152

2 32, 42, 152
16, 21, 76

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20806352/2

Therefore the LCM of Fractions 161/32,197/42,656/152 is 10403176

Greatest Common Factor of 32,42,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,42,152 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 32,42,152 . The biggest common factor number is the GCF number.
So the greatest common factor 32,42,152 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 161/32, 197/42, 656/152

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 161/32, 197/42, 656/152?

Answer: LCM of Numerators as per given numbers 161/32, 197/42, 656/152 is

LCM of Numerators i.e. for 161,197,656 is 20806352

GCF of denominators i.e. for 32,42,152 is 2.

Thus, LCM of Fractions is 10403176.Finally, LCM of Fractions for 161/32, 197/42, 656/152 is 10403176.