Least Common Multiple of 35/622, 28/299, 312/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/622, 28/299, 312/427 quickly i.e. 10920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/622, 28/299, 312/427 is 10920.

LCM(35/622, 28/299, 312/427) = 10920

LCM of 35/622, 28/299, 312/427

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 35/622,28/299,312/427

Given numbers are 35/622,28/299,312/427

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 35,28,312

Least Common Multiple of Numerators i.e. LCM of 35,28,312 is 10920.

GCF of Denominators means GCF of 622,299,427 as per the given fractions.

GCF of 622,299,427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,28,312

LCM of Fractions 35/622,28/299,312/427 is 10920

2 35, 28, 312
2 35, 14, 156
7 35, 7, 78
5, 1, 78

∴ So the LCM of the given numbers is 2 x 2 x 7 x 5 x 1 x 78 = 10920

Least Common Multiple of 35,28,312 with GCF Formula

Least Common Multiple of 35,28,312 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 35,28,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,28,312) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(35,28,312) x common factors =1 x 28 = 28

LCM(35,28,312) = ( 35 × 28 × 312 ) / 28

LCM(35,28,312) = 305760 / 28

LCM(35,28,312) = 10920


Lets's calculate GCF of 622,299,427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10920/1

Therefore the LCM of Fractions 35/622,28/299,312/427 is 10920

Greatest Common Factor of 622,299,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 622,299,427 By Matching Biggest Common Factor Method

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 622,299,427 . The biggest common factor number is the GCF number.
So the greatest common factor 622,299,427 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 35/622, 28/299, 312/427

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 35/622, 28/299, 312/427?

Answer: LCM of Numerators as per given numbers 35/622, 28/299, 312/427 is

LCM of Numerators i.e. for 35,28,312 is 10920

GCF of denominators i.e. for 622,299,427 is 1.

Thus, LCM of Fractions is 10920.Finally, LCM of Fractions for 35/622, 28/299, 312/427 is 10920.