Least Common Multiple of 689/64, 339/98, 668/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 689/64, 339/98, 668/312 quickly i.e. 78012714 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/64, 339/98, 668/312 is 78012714.

LCM(689/64, 339/98, 668/312) = 78012714

LCM of 689/64, 339/98, 668/312

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 689/64,339/98,668/312

Given numbers are 689/64,339/98,668/312

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 689,339,668

Least Common Multiple of Numerators i.e. LCM of 689,339,668 is 156025428.

GCF of Denominators means GCF of 64,98,312 as per the given fractions.

GCF of 64,98,312 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,339,668

LCM of Fractions 689/64,339/98,668/312 is 78012714

Given numbers has no common factors except 1. So, there LCM is their product i.e 156025428

Least Common Multiple of 689,339,668 with GCF Formula

Least Common Multiple of 689,339,668 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 689,339,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,339,668) = 1

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

GCF(689,339,668) x common factors =1 x 1 = 1

LCM(689,339,668) = ( 689 × 339 × 668 ) / 1

LCM(689,339,668) = 156025428 / 1

LCM(689,339,668) = 156025428


Lets's calculate GCF of 64,98,312

2 64, 98, 312
32, 49, 156

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156025428/2

Therefore the LCM of Fractions 689/64,339/98,668/312 is 78012714

Greatest Common Factor of 64,98,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,98,312 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

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

Greatest Common Factor

We found the factors 64,98,312 . The biggest common factor number is the GCF number.
So the greatest common factor 64,98,312 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 689/64, 339/98, 668/312

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 689/64, 339/98, 668/312?

Answer: LCM of Numerators as per given numbers 689/64, 339/98, 668/312 is

LCM of Numerators i.e. for 689,339,668 is 156025428

GCF of denominators i.e. for 64,98,312 is 2.

Thus, LCM of Fractions is 78012714.Finally, LCM of Fractions for 689/64, 339/98, 668/312 is 78012714.