Least Common Multiple of 68/700, 317/943, 803/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/700, 317/943, 803/208 quickly i.e. 17309468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/700, 317/943, 803/208 is 17309468.

LCM(68/700, 317/943, 803/208) = 17309468

LCM of 68/700, 317/943, 803/208

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 68/700,317/943,803/208

Given numbers are 68/700,317/943,803/208

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 68,317,803

Least Common Multiple of Numerators i.e. LCM of 68,317,803 is 17309468.

GCF of Denominators means GCF of 700,943,208 as per the given fractions.

GCF of 700,943,208 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,317,803

LCM of Fractions 68/700,317/943,803/208 is 17309468

Given numbers has no common factors except 1. So, there LCM is their product i.e 17309468

Least Common Multiple of 68,317,803 with GCF Formula

Least Common Multiple of 68,317,803 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 68,317,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,317,803) = 1

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

GCF(68,317,803) x common factors =1 x 1 = 1

LCM(68,317,803) = ( 68 × 317 × 803 ) / 1

LCM(68,317,803) = 17309468 / 1

LCM(68,317,803) = 17309468


Lets's calculate GCF of 700,943,208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17309468/1

Therefore the LCM of Fractions 68/700,317/943,803/208 is 17309468

Greatest Common Factor of 700,943,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,943,208 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 700,943,208 . The biggest common factor number is the GCF number.
So the greatest common factor 700,943,208 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 68/700, 317/943, 803/208

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 68/700, 317/943, 803/208?

Answer: LCM of Numerators as per given numbers 68/700, 317/943, 803/208 is

LCM of Numerators i.e. for 68,317,803 is 17309468

GCF of denominators i.e. for 700,943,208 is 1.

Thus, LCM of Fractions is 17309468.Finally, LCM of Fractions for 68/700, 317/943, 803/208 is 17309468.