Least Common Multiple of 8371/504, 7470/3515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8371/504, 7470/3515 quickly i.e. 62531370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8371/504, 7470/3515 is 62531370.

LCM(8371/504, 7470/3515) = 62531370

LCM of 8371/504, 7470/3515

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 8371/504,7470/3515

Given numbers are 8371/504,7470/3515

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 8371,7470

Least Common Multiple of Numerators i.e. LCM of 8371,7470 is 62531370.

GCF of Denominators means GCF of 504,3515 as per the given fractions.

GCF of 504,3515 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8371,7470

LCM of Fractions 8371/504,7470/3515 is 62531370

Given numbers has no common factors except 1. So, there LCM is their product i.e 62531370

Least Common Multiple of 8371,7470 with GCF Formula

Least Common Multiple of 8371,7470 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 8371,7470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8371,7470) = 1

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

GCF(8371,7470) x common factors =1 x 1 = 1

LCM(8371,7470) = ( 8371 × 7470 ) / 1

LCM(8371,7470) = 62531370 / 1

LCM(8371,7470) = 62531370


Lets's calculate GCF of 504,3515

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62531370/1

Therefore the LCM of Fractions 8371/504,7470/3515 is 62531370

Greatest Common Factor of 504,3515 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,3515 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 3515

List of positive integer factors of 3515 that divides 3515 without a remainder.

1,5,19,37,95,185,703,3515

Greatest Common Factor

We found the factors 504,3515 . The biggest common factor number is the GCF number.
So the greatest common factor 504,3515 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 8371/504, 7470/3515

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 8371/504, 7470/3515?

Answer: LCM of Numerators as per given numbers 8371/504, 7470/3515 is

LCM of Numerators i.e. for 8371,7470 is 62531370

GCF of denominators i.e. for 504,3515 is 1.

Thus, LCM of Fractions is 62531370.Finally, LCM of Fractions for 8371/504, 7470/3515 is 62531370.