Least Common Multiple of 88/97, 36/39, 47/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 88/97, 36/39, 47/830 quickly i.e. 37224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/97, 36/39, 47/830 is 37224.

LCM(88/97, 36/39, 47/830) = 37224

LCM of 88/97, 36/39, 47/830

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 88/97,36/39,47/830

Given numbers are 88/97,36/39,47/830

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 88,36,47

Least Common Multiple of Numerators i.e. LCM of 88,36,47 is 37224.

GCF of Denominators means GCF of 97,39,830 as per the given fractions.

GCF of 97,39,830 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,36,47

LCM of Fractions 88/97,36/39,47/830 is 37224

2 88, 36, 47
2 44, 18, 47
22, 9, 47

∴ So the LCM of the given numbers is 2 x 2 x 22 x 9 x 47 = 37224

Least Common Multiple of 88,36,47 with GCF Formula

Least Common Multiple of 88,36,47 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 88,36,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,36,47) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(88,36,47) x common factors =1 x 4 = 4

LCM(88,36,47) = ( 88 × 36 × 47 ) / 4

LCM(88,36,47) = 148896 / 4

LCM(88,36,47) = 37224


Lets's calculate GCF of 97,39,830

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37224/1

Therefore the LCM of Fractions 88/97,36/39,47/830 is 37224

Greatest Common Factor of 97,39,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,39,830 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 97,39,830 . The biggest common factor number is the GCF number.
So the greatest common factor 97,39,830 is 1.


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Frequently Asked Questions on Fractional LCM of 88/97, 36/39, 47/830

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 88/97, 36/39, 47/830?

Answer: LCM of Numerators as per given numbers 88/97, 36/39, 47/830 is

LCM of Numerators i.e. for 88,36,47 is 37224

GCF of denominators i.e. for 97,39,830 is 1.

Thus, LCM of Fractions is 37224.Finally, LCM of Fractions for 88/97, 36/39, 47/830 is 37224.