Least Common Multiple of 49/64, 142/77, 519/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/64, 142/77, 519/272 quickly i.e. 3611202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/64, 142/77, 519/272 is 3611202.

LCM(49/64, 142/77, 519/272) = 3611202

LCM of 49/64, 142/77, 519/272

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 49/64,142/77,519/272

Given numbers are 49/64,142/77,519/272

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 49,142,519

Least Common Multiple of Numerators i.e. LCM of 49,142,519 is 3611202.

GCF of Denominators means GCF of 64,77,272 as per the given fractions.

GCF of 64,77,272 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,142,519

LCM of Fractions 49/64,142/77,519/272 is 3611202

Given numbers has no common factors except 1. So, there LCM is their product i.e 3611202

Least Common Multiple of 49,142,519 with GCF Formula

Least Common Multiple of 49,142,519 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 49,142,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,142,519) = 1

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

GCF(49,142,519) x common factors =1 x 1 = 1

LCM(49,142,519) = ( 49 × 142 × 519 ) / 1

LCM(49,142,519) = 3611202 / 1

LCM(49,142,519) = 3611202


Lets's calculate GCF of 64,77,272

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3611202/1

Therefore the LCM of Fractions 49/64,142/77,519/272 is 3611202

Greatest Common Factor of 64,77,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,77,272 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 64,77,272 . The biggest common factor number is the GCF number.
So the greatest common factor 64,77,272 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 49/64, 142/77, 519/272

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 49/64, 142/77, 519/272?

Answer: LCM of Numerators as per given numbers 49/64, 142/77, 519/272 is

LCM of Numerators i.e. for 49,142,519 is 3611202

GCF of denominators i.e. for 64,77,272 is 1.

Thus, LCM of Fractions is 3611202.Finally, LCM of Fractions for 49/64, 142/77, 519/272 is 3611202.