Least Common Multiple of 83/42, 58/25, 97/58, 37/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/42, 58/25, 97/58, 37/177 quickly i.e. 17277446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/42, 58/25, 97/58, 37/177 is 17277446.

LCM(83/42, 58/25, 97/58, 37/177) = 17277446

LCM of 83/42, 58/25, 97/58, 37/177

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 83/42,58/25,97/58,37/177

Given numbers are 83/42,58/25,97/58,37/177

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 83,58,97,37

Least Common Multiple of Numerators i.e. LCM of 83,58,97,37 is 17277446.

GCF of Denominators means GCF of 42,25,58,177 as per the given fractions.

GCF of 42,25,58,177 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,58,97,37

LCM of Fractions 83/42,58/25,97/58,37/177 is 17277446

Given numbers has no common factors except 1. So, there LCM is their product i.e 17277446

Least Common Multiple of 83,58,97,37 with GCF Formula

Least Common Multiple of 83,58,97,37 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 83,58,97,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,58,97,37) = 1

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

GCF(83,58,97,37) x common factors =1 x 1 = 1

LCM(83,58,97,37) = ( 83 × 58 × 97 × 37 ) / 1

LCM(83,58,97,37) = 17277446 / 1

LCM(83,58,97,37) = 17277446


Lets's calculate GCF of 42,25,58,177

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17277446/1

Therefore the LCM of Fractions 83/42,58/25,97/58,37/177 is 17277446

Greatest Common Factor of 42,25,58,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,25,58,177 By Matching Biggest Common Factor Method

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 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Greatest Common Factor

We found the factors 42,25,58,177 . The biggest common factor number is the GCF number.
So the greatest common factor 42,25,58,177 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 83/42, 58/25, 97/58, 37/177

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 83/42, 58/25, 97/58, 37/177?

Answer: LCM of Numerators as per given numbers 83/42, 58/25, 97/58, 37/177 is

LCM of Numerators i.e. for 83,58,97,37 is 17277446

GCF of denominators i.e. for 42,25,58,177 is 1.

Thus, LCM of Fractions is 17277446.Finally, LCM of Fractions for 83/42, 58/25, 97/58, 37/177 is 17277446.