Least Common Multiple of 70/309, 46/312, 206/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/309, 46/312, 206/694 quickly i.e. 165830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/309, 46/312, 206/694 is 165830.

LCM(70/309, 46/312, 206/694) = 165830

LCM of 70/309, 46/312, 206/694

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 70/309,46/312,206/694

Given numbers are 70/309,46/312,206/694

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 70,46,206

Least Common Multiple of Numerators i.e. LCM of 70,46,206 is 165830.

GCF of Denominators means GCF of 309,312,694 as per the given fractions.

GCF of 309,312,694 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,46,206

LCM of Fractions 70/309,46/312,206/694 is 165830

2 70, 46, 206
35, 23, 103

∴ So the LCM of the given numbers is 2 x 35 x 23 x 103 = 165830

Least Common Multiple of 70,46,206 with GCF Formula

Least Common Multiple of 70,46,206 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 70,46,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,46,206) = 2

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

GCF(70,46,206) x common factors =2 x 2 = 4

LCM(70,46,206) = ( 70 × 46 × 206 ) / 4

LCM(70,46,206) = 663320 / 4

LCM(70,46,206) = 165830


Lets's calculate GCF of 309,312,694

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165830/1

Therefore the LCM of Fractions 70/309,46/312,206/694 is 165830

Greatest Common Factor of 309,312,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,312,694 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 309,312,694 . The biggest common factor number is the GCF number.
So the greatest common factor 309,312,694 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 70/309, 46/312, 206/694

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 70/309, 46/312, 206/694?

Answer: LCM of Numerators as per given numbers 70/309, 46/312, 206/694 is

LCM of Numerators i.e. for 70,46,206 is 165830

GCF of denominators i.e. for 309,312,694 is 1.

Thus, LCM of Fractions is 165830.Finally, LCM of Fractions for 70/309, 46/312, 206/694 is 165830.