Least Common Multiple of 310/636, 102/784, 206/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 310/636, 102/784, 206/553 quickly i.e. 1628430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 310/636, 102/784, 206/553 is 1628430.

LCM(310/636, 102/784, 206/553) = 1628430

LCM of 310/636, 102/784, 206/553

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 310/636,102/784,206/553

Given numbers are 310/636,102/784,206/553

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 310,102,206

Least Common Multiple of Numerators i.e. LCM of 310,102,206 is 1628430.

GCF of Denominators means GCF of 636,784,553 as per the given fractions.

GCF of 636,784,553 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 310,102,206

LCM of Fractions 310/636,102/784,206/553 is 1628430

2 310, 102, 206
155, 51, 103

∴ So the LCM of the given numbers is 2 x 155 x 51 x 103 = 1628430

Least Common Multiple of 310,102,206 with GCF Formula

Least Common Multiple of 310,102,206 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 310,102,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,102,206) = 2

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

GCF(310,102,206) x common factors =2 x 2 = 4

LCM(310,102,206) = ( 310 × 102 × 206 ) / 4

LCM(310,102,206) = 6513720 / 4

LCM(310,102,206) = 1628430


Lets's calculate GCF of 636,784,553

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1628430/1

Therefore the LCM of Fractions 310/636,102/784,206/553 is 1628430

Greatest Common Factor of 636,784,553 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,784,553 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Greatest Common Factor

We found the factors 636,784,553 . The biggest common factor number is the GCF number.
So the greatest common factor 636,784,553 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 310/636, 102/784, 206/553

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 310/636, 102/784, 206/553?

Answer: LCM of Numerators as per given numbers 310/636, 102/784, 206/553 is

LCM of Numerators i.e. for 310,102,206 is 1628430

GCF of denominators i.e. for 636,784,553 is 1.

Thus, LCM of Fractions is 1628430.Finally, LCM of Fractions for 310/636, 102/784, 206/553 is 1628430.