Least Common Multiple of 156/95, 229/3400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 156/95, 229/3400 quickly i.e. 35724/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 156/95, 229/3400 is 35724/5.

LCM(156/95, 229/3400) = 35724/5

LCM of 156/95, 229/3400

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 156/95,229/3400

Given numbers are 156/95,229/3400

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 156,229

Least Common Multiple of Numerators i.e. LCM of 156,229 is 35724.

GCF of Denominators means GCF of 95,3400 as per the given fractions.

GCF of 95,3400 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 156,229

LCM of Fractions 156/95,229/3400 is 35724/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 35724

Least Common Multiple of 156,229 with GCF Formula

Least Common Multiple of 156,229 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 156,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,229) = 1

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

GCF(156,229) x common factors =1 x 1 = 1

LCM(156,229) = ( 156 × 229 ) / 1

LCM(156,229) = 35724 / 1

LCM(156,229) = 35724


Lets's calculate GCF of 95,3400

5 95, 3400
19, 680

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35724/5

Therefore the LCM of Fractions 156/95,229/3400 is 35724/5

Greatest Common Factor of 95,3400 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,3400 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 3400

List of positive integer factors of 3400 that divides 3400 without a remainder.

1,2,4,5,8,10,17,20,25,34,40,50,68,85,100,136,170,200,340,425,680,850,1700,3400

Greatest Common Factor

We found the factors 95,3400 . The biggest common factor number is the GCF number.
So the greatest common factor 95,3400 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 156/95, 229/3400

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 156/95, 229/3400?

Answer: LCM of Numerators as per given numbers 156/95, 229/3400 is

LCM of Numerators i.e. for 156,229 is 35724

GCF of denominators i.e. for 95,3400 is 5.

Thus, LCM of Fractions is 35724/5.Finally, LCM of Fractions for 156/95, 229/3400 is 35724/5.