Least Common Multiple of 69/336, 80/179, 662/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/336, 80/179, 662/101 quickly i.e. 1827120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/336, 80/179, 662/101 is 1827120.

LCM(69/336, 80/179, 662/101) = 1827120

LCM of 69/336, 80/179, 662/101

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 69/336,80/179,662/101

Given numbers are 69/336,80/179,662/101

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 69,80,662

Least Common Multiple of Numerators i.e. LCM of 69,80,662 is 1827120.

GCF of Denominators means GCF of 336,179,101 as per the given fractions.

GCF of 336,179,101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,80,662

LCM of Fractions 69/336,80/179,662/101 is 1827120

2 69, 80, 662
69, 40, 331

∴ So the LCM of the given numbers is 2 x 69 x 40 x 331 = 1827120

Least Common Multiple of 69,80,662 with GCF Formula

Least Common Multiple of 69,80,662 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 69,80,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,80,662) = 1

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

GCF(69,80,662) x common factors =1 x 2 = 2

LCM(69,80,662) = ( 69 × 80 × 662 ) / 2

LCM(69,80,662) = 3654240 / 2

LCM(69,80,662) = 1827120


Lets's calculate GCF of 336,179,101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1827120/1

Therefore the LCM of Fractions 69/336,80/179,662/101 is 1827120

Greatest Common Factor of 336,179,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,179,101 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 336,179,101 . The biggest common factor number is the GCF number.
So the greatest common factor 336,179,101 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 69/336, 80/179, 662/101

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 69/336, 80/179, 662/101?

Answer: LCM of Numerators as per given numbers 69/336, 80/179, 662/101 is

LCM of Numerators i.e. for 69,80,662 is 1827120

GCF of denominators i.e. for 336,179,101 is 1.

Thus, LCM of Fractions is 1827120.Finally, LCM of Fractions for 69/336, 80/179, 662/101 is 1827120.