Least Common Multiple of 575/415, 565/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 575/415, 565/785 quickly i.e. 12995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 575/415, 565/785 is 12995.

LCM(575/415, 565/785) = 12995

LCM of 575/415, 565/785

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 575/415,565/785

Given numbers are 575/415,565/785

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 575,565

Least Common Multiple of Numerators i.e. LCM of 575,565 is 64975.

GCF of Denominators means GCF of 415,785 as per the given fractions.

GCF of 415,785 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 575,565

LCM of Fractions 575/415,565/785 is 12995

5 575, 565
115, 113

∴ So the LCM of the given numbers is 5 x 115 x 113 = 64975

Least Common Multiple of 575,565 with GCF Formula

Least Common Multiple of 575,565 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 575,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,565) = 5

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

GCF(575,565) x common factors =5 x 1 = 5

LCM(575,565) = ( 575 × 565 ) / 5

LCM(575,565) = 324875 / 5

LCM(575,565) = 64975


Lets's calculate GCF of 415,785

5 415, 785
83, 157

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64975/5

Therefore the LCM of Fractions 575/415,565/785 is 12995

Greatest Common Factor of 415,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,785 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Greatest Common Factor

We found the factors 415,785 . The biggest common factor number is the GCF number.
So the greatest common factor 415,785 is 5.


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 575/415, 565/785

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 575/415, 565/785?

Answer: LCM of Numerators as per given numbers 575/415, 565/785 is

LCM of Numerators i.e. for 575,565 is 64975

GCF of denominators i.e. for 415,785 is 5.

Thus, LCM of Fractions is 12995.Finally, LCM of Fractions for 575/415, 565/785 is 12995.