Least Common Multiple of 43/628, 787/477, 216/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/628, 787/477, 216/762 quickly i.e. 7309656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/628, 787/477, 216/762 is 7309656.

LCM(43/628, 787/477, 216/762) = 7309656

LCM of 43/628, 787/477, 216/762

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 43/628,787/477,216/762

Given numbers are 43/628,787/477,216/762

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 43,787,216

Least Common Multiple of Numerators i.e. LCM of 43,787,216 is 7309656.

GCF of Denominators means GCF of 628,477,762 as per the given fractions.

GCF of 628,477,762 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,787,216

LCM of Fractions 43/628,787/477,216/762 is 7309656

Given numbers has no common factors except 1. So, there LCM is their product i.e 7309656

Least Common Multiple of 43,787,216 with GCF Formula

Least Common Multiple of 43,787,216 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 43,787,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,787,216) = 1

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

GCF(43,787,216) x common factors =1 x 1 = 1

LCM(43,787,216) = ( 43 × 787 × 216 ) / 1

LCM(43,787,216) = 7309656 / 1

LCM(43,787,216) = 7309656


Lets's calculate GCF of 628,477,762

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7309656/1

Therefore the LCM of Fractions 43/628,787/477,216/762 is 7309656

Greatest Common Factor of 628,477,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,477,762 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 628,477,762 . The biggest common factor number is the GCF number.
So the greatest common factor 628,477,762 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 43/628, 787/477, 216/762

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 43/628, 787/477, 216/762?

Answer: LCM of Numerators as per given numbers 43/628, 787/477, 216/762 is

LCM of Numerators i.e. for 43,787,216 is 7309656

GCF of denominators i.e. for 628,477,762 is 1.

Thus, LCM of Fractions is 7309656.Finally, LCM of Fractions for 43/628, 787/477, 216/762 is 7309656.