Least Common Multiple of 505/71, 385/2957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 505/71, 385/2957 quickly i.e. 38885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 505/71, 385/2957 is 38885.

LCM(505/71, 385/2957) = 38885

LCM of 505/71, 385/2957

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 505/71,385/2957

Given numbers are 505/71,385/2957

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 505,385

Least Common Multiple of Numerators i.e. LCM of 505,385 is 38885.

GCF of Denominators means GCF of 71,2957 as per the given fractions.

GCF of 71,2957 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 505,385

LCM of Fractions 505/71,385/2957 is 38885

5 505, 385
101, 77

∴ So the LCM of the given numbers is 5 x 101 x 77 = 38885

Least Common Multiple of 505,385 with GCF Formula

Least Common Multiple of 505,385 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 505,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,385) = 5

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

GCF(505,385) x common factors =5 x 1 = 5

LCM(505,385) = ( 505 × 385 ) / 5

LCM(505,385) = 194425 / 5

LCM(505,385) = 38885


Lets's calculate GCF of 71,2957

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38885/1

Therefore the LCM of Fractions 505/71,385/2957 is 38885

Greatest Common Factor of 71,2957 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,2957 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 2957

List of positive integer factors of 2957 that divides 2957 without a remainder.

1,2957

Greatest Common Factor

We found the factors 71,2957 . The biggest common factor number is the GCF number.
So the greatest common factor 71,2957 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 505/71, 385/2957

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 505/71, 385/2957?

Answer: LCM of Numerators as per given numbers 505/71, 385/2957 is

LCM of Numerators i.e. for 505,385 is 38885

GCF of denominators i.e. for 71,2957 is 1.

Thus, LCM of Fractions is 38885.Finally, LCM of Fractions for 505/71, 385/2957 is 38885.