Least Common Multiple of 280/787, 360/151, 723/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 280/787, 360/151, 723/550 quickly i.e. 607320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 280/787, 360/151, 723/550 is 607320.

LCM(280/787, 360/151, 723/550) = 607320

LCM of 280/787, 360/151, 723/550

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 280/787,360/151,723/550

Given numbers are 280/787,360/151,723/550

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 280,360,723

Least Common Multiple of Numerators i.e. LCM of 280,360,723 is 607320.

GCF of Denominators means GCF of 787,151,550 as per the given fractions.

GCF of 787,151,550 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 280,360,723

LCM of Fractions 280/787,360/151,723/550 is 607320

2 280, 360, 723
2 140, 180, 723
2 70, 90, 723
3 35, 45, 723
5 35, 15, 241
7, 3, 241

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 7 x 3 x 241 = 607320

Least Common Multiple of 280,360,723 with GCF Formula

Least Common Multiple of 280,360,723 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 280,360,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,360,723) = 1

common factors(in case of two or more numbers have common factors) = 120

GCF(280,360,723) x common factors =1 x 120 = 120

LCM(280,360,723) = ( 280 × 360 × 723 ) / 120

LCM(280,360,723) = 72878400 / 120

LCM(280,360,723) = 607320


Lets's calculate GCF of 787,151,550

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 607320/1

Therefore the LCM of Fractions 280/787,360/151,723/550 is 607320

Greatest Common Factor of 787,151,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,151,550 By Matching Biggest Common Factor Method

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 787,151,550 . The biggest common factor number is the GCF number.
So the greatest common factor 787,151,550 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 280/787, 360/151, 723/550

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 280/787, 360/151, 723/550?

Answer: LCM of Numerators as per given numbers 280/787, 360/151, 723/550 is

LCM of Numerators i.e. for 280,360,723 is 607320

GCF of denominators i.e. for 787,151,550 is 1.

Thus, LCM of Fractions is 607320.Finally, LCM of Fractions for 280/787, 360/151, 723/550 is 607320.