Least Common Multiple of 29/97, 94/53, 58/41, 44/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 29/97, 94/53, 58/41, 44/222 quickly i.e. 59972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/97, 94/53, 58/41, 44/222 is 59972.

LCM(29/97, 94/53, 58/41, 44/222) = 59972

LCM of 29/97, 94/53, 58/41, 44/222

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 29/97,94/53,58/41,44/222

Given numbers are 29/97,94/53,58/41,44/222

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 29,94,58,44

Least Common Multiple of Numerators i.e. LCM of 29,94,58,44 is 59972.

GCF of Denominators means GCF of 97,53,41,222 as per the given fractions.

GCF of 97,53,41,222 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,94,58,44

LCM of Fractions 29/97,94/53,58/41,44/222 is 59972

2 29, 94, 58, 44
29 29, 47, 29, 22
1, 47, 1, 22

∴ So the LCM of the given numbers is 2 x 29 x 1 x 47 x 1 x 22 = 59972

Least Common Multiple of 29,94,58,44 with GCF Formula

Least Common Multiple of 29,94,58,44 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 29,94,58,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,94,58,44) = 1

common factors(in case of two or more numbers have common factors) = 116

GCF(29,94,58,44) x common factors =1 x 116 = 116

LCM(29,94,58,44) = ( 29 × 94 × 58 × 44 ) / 116

LCM(29,94,58,44) = 6956752 / 116

LCM(29,94,58,44) = 59972


Lets's calculate GCF of 97,53,41,222

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59972/1

Therefore the LCM of Fractions 29/97,94/53,58/41,44/222 is 59972

Greatest Common Factor of 97,53,41,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,53,41,222 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 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 97,53,41,222 . The biggest common factor number is the GCF number.
So the greatest common factor 97,53,41,222 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 29/97, 94/53, 58/41, 44/222

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 29/97, 94/53, 58/41, 44/222?

Answer: LCM of Numerators as per given numbers 29/97, 94/53, 58/41, 44/222 is

LCM of Numerators i.e. for 29,94,58,44 is 59972

GCF of denominators i.e. for 97,53,41,222 is 1.

Thus, LCM of Fractions is 59972.Finally, LCM of Fractions for 29/97, 94/53, 58/41, 44/222 is 59972.