Least Common Multiple of 3750/312, 5169/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3750/312, 5169/515 quickly i.e. 6461250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3750/312, 5169/515 is 6461250.

LCM(3750/312, 5169/515) = 6461250

LCM of 3750/312, 5169/515

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 3750/312,5169/515

Given numbers are 3750/312,5169/515

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 3750,5169

Least Common Multiple of Numerators i.e. LCM of 3750,5169 is 6461250.

GCF of Denominators means GCF of 312,515 as per the given fractions.

GCF of 312,515 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3750,5169

LCM of Fractions 3750/312,5169/515 is 6461250

3 3750, 5169
1250, 1723

∴ So the LCM of the given numbers is 3 x 1250 x 1723 = 6461250

Least Common Multiple of 3750,5169 with GCF Formula

Least Common Multiple of 3750,5169 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 3750,5169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3750,5169) = 3

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

GCF(3750,5169) x common factors =3 x 1 = 3

LCM(3750,5169) = ( 3750 × 5169 ) / 3

LCM(3750,5169) = 19383750 / 3

LCM(3750,5169) = 6461250


Lets's calculate GCF of 312,515

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6461250/1

Therefore the LCM of Fractions 3750/312,5169/515 is 6461250

Greatest Common Factor of 312,515 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,515 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Greatest Common Factor

We found the factors 312,515 . The biggest common factor number is the GCF number.
So the greatest common factor 312,515 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 3750/312, 5169/515

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 3750/312, 5169/515?

Answer: LCM of Numerators as per given numbers 3750/312, 5169/515 is

LCM of Numerators i.e. for 3750,5169 is 6461250

GCF of denominators i.e. for 312,515 is 1.

Thus, LCM of Fractions is 6461250.Finally, LCM of Fractions for 3750/312, 5169/515 is 6461250.