Least Common Multiple of 931/676, 444/818, 693/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 931/676, 444/818, 693/106 quickly i.e. 6820506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 931/676, 444/818, 693/106 is 6820506.

LCM(931/676, 444/818, 693/106) = 6820506

LCM of 931/676, 444/818, 693/106

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 931/676,444/818,693/106

Given numbers are 931/676,444/818,693/106

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 931,444,693

Least Common Multiple of Numerators i.e. LCM of 931,444,693 is 13641012.

GCF of Denominators means GCF of 676,818,106 as per the given fractions.

GCF of 676,818,106 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 931,444,693

LCM of Fractions 931/676,444/818,693/106 is 6820506

3 931, 444, 693
7 931, 148, 231
133, 148, 33

∴ So the LCM of the given numbers is 3 x 7 x 133 x 148 x 33 = 13641012

Least Common Multiple of 931,444,693 with GCF Formula

Least Common Multiple of 931,444,693 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 931,444,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,444,693) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(931,444,693) x common factors =1 x 21 = 21

LCM(931,444,693) = ( 931 × 444 × 693 ) / 21

LCM(931,444,693) = 286461252 / 21

LCM(931,444,693) = 13641012


Lets's calculate GCF of 676,818,106

2 676, 818, 106
338, 409, 53

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13641012/2

Therefore the LCM of Fractions 931/676,444/818,693/106 is 6820506

Greatest Common Factor of 676,818,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,818,106 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 676,818,106 . The biggest common factor number is the GCF number.
So the greatest common factor 676,818,106 is 2.


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 931/676, 444/818, 693/106

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 931/676, 444/818, 693/106?

Answer: LCM of Numerators as per given numbers 931/676, 444/818, 693/106 is

LCM of Numerators i.e. for 931,444,693 is 13641012

GCF of denominators i.e. for 676,818,106 is 2.

Thus, LCM of Fractions is 6820506.Finally, LCM of Fractions for 931/676, 444/818, 693/106 is 6820506.