Least Common Multiple of 67/688, 366/382, 101/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/688, 366/382, 101/587 quickly i.e. 2476722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/688, 366/382, 101/587 is 2476722.

LCM(67/688, 366/382, 101/587) = 2476722

LCM of 67/688, 366/382, 101/587

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 67/688,366/382,101/587

Given numbers are 67/688,366/382,101/587

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 67,366,101

Least Common Multiple of Numerators i.e. LCM of 67,366,101 is 2476722.

GCF of Denominators means GCF of 688,382,587 as per the given fractions.

GCF of 688,382,587 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,366,101

LCM of Fractions 67/688,366/382,101/587 is 2476722

Given numbers has no common factors except 1. So, there LCM is their product i.e 2476722

Least Common Multiple of 67,366,101 with GCF Formula

Least Common Multiple of 67,366,101 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 67,366,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,366,101) = 1

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

GCF(67,366,101) x common factors =1 x 1 = 1

LCM(67,366,101) = ( 67 × 366 × 101 ) / 1

LCM(67,366,101) = 2476722 / 1

LCM(67,366,101) = 2476722


Lets's calculate GCF of 688,382,587

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2476722/1

Therefore the LCM of Fractions 67/688,366/382,101/587 is 2476722

Greatest Common Factor of 688,382,587 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,382,587 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Greatest Common Factor

We found the factors 688,382,587 . The biggest common factor number is the GCF number.
So the greatest common factor 688,382,587 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 67/688, 366/382, 101/587

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 67/688, 366/382, 101/587?

Answer: LCM of Numerators as per given numbers 67/688, 366/382, 101/587 is

LCM of Numerators i.e. for 67,366,101 is 2476722

GCF of denominators i.e. for 688,382,587 is 1.

Thus, LCM of Fractions is 2476722.Finally, LCM of Fractions for 67/688, 366/382, 101/587 is 2476722.