Least Common Multiple of 59/699, 8495/4743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 59/699, 8495/4743 quickly i.e. 501205/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/699, 8495/4743 is 501205/3.

LCM(59/699, 8495/4743) = 501205/3

LCM of 59/699, 8495/4743

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 59/699,8495/4743

Given numbers are 59/699,8495/4743

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 59,8495

Least Common Multiple of Numerators i.e. LCM of 59,8495 is 501205.

GCF of Denominators means GCF of 699,4743 as per the given fractions.

GCF of 699,4743 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,8495

LCM of Fractions 59/699,8495/4743 is 501205/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 501205

Least Common Multiple of 59,8495 with GCF Formula

Least Common Multiple of 59,8495 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 59,8495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,8495) = 1

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

GCF(59,8495) x common factors =1 x 1 = 1

LCM(59,8495) = ( 59 × 8495 ) / 1

LCM(59,8495) = 501205 / 1

LCM(59,8495) = 501205


Lets's calculate GCF of 699,4743

3 699, 4743
233, 1581

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 501205/3

Therefore the LCM of Fractions 59/699,8495/4743 is 501205/3

Greatest Common Factor of 699,4743 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,4743 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 4743

List of positive integer factors of 4743 that divides 4743 without a remainder.

1,3,9,17,31,51,93,153,279,527,1581,4743

Greatest Common Factor

We found the factors 699,4743 . The biggest common factor number is the GCF number.
So the greatest common factor 699,4743 is 3.


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Frequently Asked Questions on Fractional LCM of 59/699, 8495/4743

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 59/699, 8495/4743?

Answer: LCM of Numerators as per given numbers 59/699, 8495/4743 is

LCM of Numerators i.e. for 59,8495 is 501205

GCF of denominators i.e. for 699,4743 is 3.

Thus, LCM of Fractions is 501205/3.Finally, LCM of Fractions for 59/699, 8495/4743 is 501205/3.