Least Common Multiple of 5715/889, 3250/6335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5715/889, 3250/6335 quickly i.e. 3714750/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5715/889, 3250/6335 is 3714750/7.

LCM(5715/889, 3250/6335) = 3714750/7

LCM of 5715/889, 3250/6335

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 5715/889,3250/6335

Given numbers are 5715/889,3250/6335

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 5715,3250

Least Common Multiple of Numerators i.e. LCM of 5715,3250 is 3714750.

GCF of Denominators means GCF of 889,6335 as per the given fractions.

GCF of 889,6335 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5715,3250

LCM of Fractions 5715/889,3250/6335 is 3714750/7

5 5715, 3250
1143, 650

∴ So the LCM of the given numbers is 5 x 1143 x 650 = 3714750

Least Common Multiple of 5715,3250 with GCF Formula

Least Common Multiple of 5715,3250 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 5715,3250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5715,3250) = 5

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

GCF(5715,3250) x common factors =5 x 1 = 5

LCM(5715,3250) = ( 5715 × 3250 ) / 5

LCM(5715,3250) = 18573750 / 5

LCM(5715,3250) = 3714750


Lets's calculate GCF of 889,6335

7 889, 6335
127, 905

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3714750/7

Therefore the LCM of Fractions 5715/889,3250/6335 is 3714750/7

Greatest Common Factor of 889,6335 By Matching Biggest Common Factor Method

Greatest Common Factor of 889,6335 By Matching Biggest Common Factor Method

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 6335

List of positive integer factors of 6335 that divides 6335 without a remainder.

1,5,7,35,181,905,1267,6335

Greatest Common Factor

We found the factors 889,6335 . The biggest common factor number is the GCF number.
So the greatest common factor 889,6335 is 7.


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 5715/889, 3250/6335

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 5715/889, 3250/6335?

Answer: LCM of Numerators as per given numbers 5715/889, 3250/6335 is

LCM of Numerators i.e. for 5715,3250 is 3714750

GCF of denominators i.e. for 889,6335 is 7.

Thus, LCM of Fractions is 3714750/7.Finally, LCM of Fractions for 5715/889, 3250/6335 is 3714750/7.