Least Common Multiple of 31/677, 14/101, 315/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/677, 14/101, 315/991 quickly i.e. 19530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/677, 14/101, 315/991 is 19530.

LCM(31/677, 14/101, 315/991) = 19530

LCM of 31/677, 14/101, 315/991

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 31/677,14/101,315/991

Given numbers are 31/677,14/101,315/991

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 31,14,315

Least Common Multiple of Numerators i.e. LCM of 31,14,315 is 19530.

GCF of Denominators means GCF of 677,101,991 as per the given fractions.

GCF of 677,101,991 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,14,315

LCM of Fractions 31/677,14/101,315/991 is 19530

7 31, 14, 315
31, 2, 45

∴ So the LCM of the given numbers is 7 x 31 x 2 x 45 = 19530

Least Common Multiple of 31,14,315 with GCF Formula

Least Common Multiple of 31,14,315 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 31,14,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,14,315) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(31,14,315) x common factors =1 x 7 = 7

LCM(31,14,315) = ( 31 × 14 × 315 ) / 7

LCM(31,14,315) = 136710 / 7

LCM(31,14,315) = 19530


Lets's calculate GCF of 677,101,991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19530/1

Therefore the LCM of Fractions 31/677,14/101,315/991 is 19530

Greatest Common Factor of 677,101,991 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,101,991 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Greatest Common Factor

We found the factors 677,101,991 . The biggest common factor number is the GCF number.
So the greatest common factor 677,101,991 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 31/677, 14/101, 315/991

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 31/677, 14/101, 315/991?

Answer: LCM of Numerators as per given numbers 31/677, 14/101, 315/991 is

LCM of Numerators i.e. for 31,14,315 is 19530

GCF of denominators i.e. for 677,101,991 is 1.

Thus, LCM of Fractions is 19530.Finally, LCM of Fractions for 31/677, 14/101, 315/991 is 19530.