Least Common Multiple of 8/58, 8/32, 34/29, 25/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8/58, 8/32, 34/29, 25/503 quickly i.e. 3400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/58, 8/32, 34/29, 25/503 is 3400.

LCM(8/58, 8/32, 34/29, 25/503) = 3400

LCM of 8/58, 8/32, 34/29, 25/503

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 8/58,8/32,34/29,25/503

Given numbers are 8/58,8/32,34/29,25/503

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 8,8,34,25

Least Common Multiple of Numerators i.e. LCM of 8,8,34,25 is 3400.

GCF of Denominators means GCF of 58,32,29,503 as per the given fractions.

GCF of 58,32,29,503 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,8,34,25

LCM of Fractions 8/58,8/32,34/29,25/503 is 3400

2 8, 8, 34, 25
2 4, 4, 17, 25
2 2, 2, 17, 25
1, 1, 17, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 1 x 17 x 25 = 3400

Least Common Multiple of 8,8,34,25 with GCF Formula

Least Common Multiple of 8,8,34,25 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 8,8,34,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,8,34,25) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(8,8,34,25) x common factors =1 x 16 = 16

LCM(8,8,34,25) = ( 8 × 8 × 34 × 25 ) / 16

LCM(8,8,34,25) = 54400 / 16

LCM(8,8,34,25) = 3400


Lets's calculate GCF of 58,32,29,503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3400/1

Therefore the LCM of Fractions 8/58,8/32,34/29,25/503 is 3400

Greatest Common Factor of 58,32,29,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,32,29,503 By Matching Biggest Common Factor Method

Factors of 58

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

1,2,29,58

Factors of 32

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

1,2,4,8,16,32

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Greatest Common Factor

We found the factors 58,32,29,503 . The biggest common factor number is the GCF number.
So the greatest common factor 58,32,29,503 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8/58, 8/32, 34/29, 25/503

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 8/58, 8/32, 34/29, 25/503?

Answer: LCM of Numerators as per given numbers 8/58, 8/32, 34/29, 25/503 is

LCM of Numerators i.e. for 8,8,34,25 is 3400

GCF of denominators i.e. for 58,32,29,503 is 1.

Thus, LCM of Fractions is 3400.Finally, LCM of Fractions for 8/58, 8/32, 34/29, 25/503 is 3400.