Least Common Multiple of 49/277, 75/390, 583/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/277, 75/390, 583/512 quickly i.e. 2142525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/277, 75/390, 583/512 is 2142525.

LCM(49/277, 75/390, 583/512) = 2142525

LCM of 49/277, 75/390, 583/512

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 49/277,75/390,583/512

Given numbers are 49/277,75/390,583/512

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 49,75,583

Least Common Multiple of Numerators i.e. LCM of 49,75,583 is 2142525.

GCF of Denominators means GCF of 277,390,512 as per the given fractions.

GCF of 277,390,512 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,75,583

LCM of Fractions 49/277,75/390,583/512 is 2142525

Given numbers has no common factors except 1. So, there LCM is their product i.e 2142525

Least Common Multiple of 49,75,583 with GCF Formula

Least Common Multiple of 49,75,583 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 49,75,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,75,583) = 1

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

GCF(49,75,583) x common factors =1 x 1 = 1

LCM(49,75,583) = ( 49 × 75 × 583 ) / 1

LCM(49,75,583) = 2142525 / 1

LCM(49,75,583) = 2142525


Lets's calculate GCF of 277,390,512

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2142525/1

Therefore the LCM of Fractions 49/277,75/390,583/512 is 2142525

Greatest Common Factor of 277,390,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,390,512 By Matching Biggest Common Factor Method

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 277,390,512 . The biggest common factor number is the GCF number.
So the greatest common factor 277,390,512 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 49/277, 75/390, 583/512

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 49/277, 75/390, 583/512?

Answer: LCM of Numerators as per given numbers 49/277, 75/390, 583/512 is

LCM of Numerators i.e. for 49,75,583 is 2142525

GCF of denominators i.e. for 277,390,512 is 1.

Thus, LCM of Fractions is 2142525.Finally, LCM of Fractions for 49/277, 75/390, 583/512 is 2142525.