Least Common Multiple of 30/628, 163/969, 796/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/628, 163/969, 796/823 quickly i.e. 1946220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/628, 163/969, 796/823 is 1946220.

LCM(30/628, 163/969, 796/823) = 1946220

LCM of 30/628, 163/969, 796/823

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 30/628,163/969,796/823

Given numbers are 30/628,163/969,796/823

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 30,163,796

Least Common Multiple of Numerators i.e. LCM of 30,163,796 is 1946220.

GCF of Denominators means GCF of 628,969,823 as per the given fractions.

GCF of 628,969,823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,163,796

LCM of Fractions 30/628,163/969,796/823 is 1946220

2 30, 163, 796
15, 163, 398

∴ So the LCM of the given numbers is 2 x 15 x 163 x 398 = 1946220

Least Common Multiple of 30,163,796 with GCF Formula

Least Common Multiple of 30,163,796 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 30,163,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,163,796) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(30,163,796) x common factors =1 x 2 = 2

LCM(30,163,796) = ( 30 × 163 × 796 ) / 2

LCM(30,163,796) = 3892440 / 2

LCM(30,163,796) = 1946220


Lets's calculate GCF of 628,969,823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1946220/1

Therefore the LCM of Fractions 30/628,163/969,796/823 is 1946220

Greatest Common Factor of 628,969,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,969,823 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 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 628,969,823 . The biggest common factor number is the GCF number.
So the greatest common factor 628,969,823 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 30/628, 163/969, 796/823

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 30/628, 163/969, 796/823?

Answer: LCM of Numerators as per given numbers 30/628, 163/969, 796/823 is

LCM of Numerators i.e. for 30,163,796 is 1946220

GCF of denominators i.e. for 628,969,823 is 1.

Thus, LCM of Fractions is 1946220.Finally, LCM of Fractions for 30/628, 163/969, 796/823 is 1946220.