Least Common Multiple of 683/786, 108/420, 554/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 683/786, 108/420, 554/628 quickly i.e. 10216314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 683/786, 108/420, 554/628 is 10216314.

LCM(683/786, 108/420, 554/628) = 10216314

LCM of 683/786, 108/420, 554/628

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 683/786,108/420,554/628

Given numbers are 683/786,108/420,554/628

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 683,108,554

Least Common Multiple of Numerators i.e. LCM of 683,108,554 is 20432628.

GCF of Denominators means GCF of 786,420,628 as per the given fractions.

GCF of 786,420,628 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 683,108,554

LCM of Fractions 683/786,108/420,554/628 is 10216314

2 683, 108, 554
683, 54, 277

∴ So the LCM of the given numbers is 2 x 683 x 54 x 277 = 20432628

Least Common Multiple of 683,108,554 with GCF Formula

Least Common Multiple of 683,108,554 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 683,108,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,108,554) = 1

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

GCF(683,108,554) x common factors =1 x 2 = 2

LCM(683,108,554) = ( 683 × 108 × 554 ) / 2

LCM(683,108,554) = 40865256 / 2

LCM(683,108,554) = 20432628


Lets's calculate GCF of 786,420,628

2 786, 420, 628
393, 210, 314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20432628/2

Therefore the LCM of Fractions 683/786,108/420,554/628 is 10216314

Greatest Common Factor of 786,420,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,420,628 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 628

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

1,2,4,157,314,628

Greatest Common Factor

We found the factors 786,420,628 . The biggest common factor number is the GCF number.
So the greatest common factor 786,420,628 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 683/786, 108/420, 554/628

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 683/786, 108/420, 554/628?

Answer: LCM of Numerators as per given numbers 683/786, 108/420, 554/628 is

LCM of Numerators i.e. for 683,108,554 is 20432628

GCF of denominators i.e. for 786,420,628 is 2.

Thus, LCM of Fractions is 10216314.Finally, LCM of Fractions for 683/786, 108/420, 554/628 is 10216314.