Least Common Multiple of 34/625, 5743/8716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 34/625, 5743/8716 quickly i.e. 195262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/625, 5743/8716 is 195262.

LCM(34/625, 5743/8716) = 195262

LCM of 34/625, 5743/8716

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 34/625,5743/8716

Given numbers are 34/625,5743/8716

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 34,5743

Least Common Multiple of Numerators i.e. LCM of 34,5743 is 195262.

GCF of Denominators means GCF of 625,8716 as per the given fractions.

GCF of 625,8716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,5743

LCM of Fractions 34/625,5743/8716 is 195262

Given numbers has no common factors except 1. So, there LCM is their product i.e 195262

Least Common Multiple of 34,5743 with GCF Formula

Least Common Multiple of 34,5743 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 34,5743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,5743) = 1

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

GCF(34,5743) x common factors =1 x 1 = 1

LCM(34,5743) = ( 34 × 5743 ) / 1

LCM(34,5743) = 195262 / 1

LCM(34,5743) = 195262


Lets's calculate GCF of 625,8716

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195262/1

Therefore the LCM of Fractions 34/625,5743/8716 is 195262

Greatest Common Factor of 625,8716 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,8716 By Matching Biggest Common Factor Method

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 8716

List of positive integer factors of 8716 that divides 8716 without a remainder.

1,2,4,2179,4358,8716

Greatest Common Factor

We found the factors 625,8716 . The biggest common factor number is the GCF number.
So the greatest common factor 625,8716 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 34/625, 5743/8716

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 34/625, 5743/8716?

Answer: LCM of Numerators as per given numbers 34/625, 5743/8716 is

LCM of Numerators i.e. for 34,5743 is 195262

GCF of denominators i.e. for 625,8716 is 1.

Thus, LCM of Fractions is 195262.Finally, LCM of Fractions for 34/625, 5743/8716 is 195262.