Least Common Multiple of 316/588, 1706/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 316/588, 1706/685 quickly i.e. 269548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 316/588, 1706/685 is 269548.

LCM(316/588, 1706/685) = 269548

LCM of 316/588, 1706/685

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 316/588,1706/685

Given numbers are 316/588,1706/685

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 316,1706

Least Common Multiple of Numerators i.e. LCM of 316,1706 is 269548.

GCF of Denominators means GCF of 588,685 as per the given fractions.

GCF of 588,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 316,1706

LCM of Fractions 316/588,1706/685 is 269548

2 316, 1706
158, 853

∴ So the LCM of the given numbers is 2 x 158 x 853 = 269548

Least Common Multiple of 316,1706 with GCF Formula

Least Common Multiple of 316,1706 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 316,1706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,1706) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(316,1706) x common factors =2 x 1 = 2

LCM(316,1706) = ( 316 × 1706 ) / 2

LCM(316,1706) = 539096 / 2

LCM(316,1706) = 269548


Lets's calculate GCF of 588,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 269548/1

Therefore the LCM of Fractions 316/588,1706/685 is 269548

Greatest Common Factor of 588,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,685 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 588,685 . The biggest common factor number is the GCF number.
So the greatest common factor 588,685 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 316/588, 1706/685

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 316/588, 1706/685?

Answer: LCM of Numerators as per given numbers 316/588, 1706/685 is

LCM of Numerators i.e. for 316,1706 is 269548

GCF of denominators i.e. for 588,685 is 1.

Thus, LCM of Fractions is 269548.Finally, LCM of Fractions for 316/588, 1706/685 is 269548.