Least Common Multiple of 711/281, 350/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 711/281, 350/616 quickly i.e. 248850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 711/281, 350/616 is 248850.

LCM(711/281, 350/616) = 248850

LCM of 711/281, 350/616

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 711/281,350/616

Given numbers are 711/281,350/616

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 711,350

Least Common Multiple of Numerators i.e. LCM of 711,350 is 248850.

GCF of Denominators means GCF of 281,616 as per the given fractions.

GCF of 281,616 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 711,350

LCM of Fractions 711/281,350/616 is 248850

Given numbers has no common factors except 1. So, there LCM is their product i.e 248850

Least Common Multiple of 711,350 with GCF Formula

Least Common Multiple of 711,350 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 711,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,350) = 1

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

GCF(711,350) x common factors =1 x 1 = 1

LCM(711,350) = ( 711 × 350 ) / 1

LCM(711,350) = 248850 / 1

LCM(711,350) = 248850


Lets's calculate GCF of 281,616

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248850/1

Therefore the LCM of Fractions 711/281,350/616 is 248850

Greatest Common Factor of 281,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 281,616 By Matching Biggest Common Factor Method

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 281,616 . The biggest common factor number is the GCF number.
So the greatest common factor 281,616 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 711/281, 350/616

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 711/281, 350/616?

Answer: LCM of Numerators as per given numbers 711/281, 350/616 is

LCM of Numerators i.e. for 711,350 is 248850

GCF of denominators i.e. for 281,616 is 1.

Thus, LCM of Fractions is 248850.Finally, LCM of Fractions for 711/281, 350/616 is 248850.