Least Common Multiple of 47/507, 34/628, 850/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/507, 34/628, 850/774 quickly i.e. 39950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/507, 34/628, 850/774 is 39950.

LCM(47/507, 34/628, 850/774) = 39950

LCM of 47/507, 34/628, 850/774

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 47/507,34/628,850/774

Given numbers are 47/507,34/628,850/774

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 47,34,850

Least Common Multiple of Numerators i.e. LCM of 47,34,850 is 39950.

GCF of Denominators means GCF of 507,628,774 as per the given fractions.

GCF of 507,628,774 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,34,850

LCM of Fractions 47/507,34/628,850/774 is 39950

2 47, 34, 850
17 47, 17, 425
47, 1, 25

∴ So the LCM of the given numbers is 2 x 17 x 47 x 1 x 25 = 39950

Least Common Multiple of 47,34,850 with GCF Formula

Least Common Multiple of 47,34,850 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 47,34,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,34,850) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(47,34,850) x common factors =1 x 34 = 34

LCM(47,34,850) = ( 47 × 34 × 850 ) / 34

LCM(47,34,850) = 1358300 / 34

LCM(47,34,850) = 39950


Lets's calculate GCF of 507,628,774

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39950/1

Therefore the LCM of Fractions 47/507,34/628,850/774 is 39950

Greatest Common Factor of 507,628,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,628,774 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 628

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

1,2,4,157,314,628

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 507,628,774 . The biggest common factor number is the GCF number.
So the greatest common factor 507,628,774 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 47/507, 34/628, 850/774

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 47/507, 34/628, 850/774?

Answer: LCM of Numerators as per given numbers 47/507, 34/628, 850/774 is

LCM of Numerators i.e. for 47,34,850 is 39950

GCF of denominators i.e. for 507,628,774 is 1.

Thus, LCM of Fractions is 39950.Finally, LCM of Fractions for 47/507, 34/628, 850/774 is 39950.