Least Common Multiple of 208/678, 2662/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 208/678, 2662/201 quickly i.e. 276848/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 208/678, 2662/201 is 276848/3.

LCM(208/678, 2662/201) = 276848/3

LCM of 208/678, 2662/201

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 208/678,2662/201

Given numbers are 208/678,2662/201

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 208,2662

Least Common Multiple of Numerators i.e. LCM of 208,2662 is 276848.

GCF of Denominators means GCF of 678,201 as per the given fractions.

GCF of 678,201 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 208,2662

LCM of Fractions 208/678,2662/201 is 276848/3

2 208, 2662
104, 1331

∴ So the LCM of the given numbers is 2 x 104 x 1331 = 276848

Least Common Multiple of 208,2662 with GCF Formula

Least Common Multiple of 208,2662 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 208,2662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,2662) = 2

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

GCF(208,2662) x common factors =2 x 1 = 2

LCM(208,2662) = ( 208 × 2662 ) / 2

LCM(208,2662) = 553696 / 2

LCM(208,2662) = 276848


Lets's calculate GCF of 678,201

3 678, 201
226, 67

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276848/3

Therefore the LCM of Fractions 208/678,2662/201 is 276848/3

Greatest Common Factor of 678,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,201 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 678,201 . The biggest common factor number is the GCF number.
So the greatest common factor 678,201 is 3.


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 208/678, 2662/201

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 208/678, 2662/201?

Answer: LCM of Numerators as per given numbers 208/678, 2662/201 is

LCM of Numerators i.e. for 208,2662 is 276848

GCF of denominators i.e. for 678,201 is 3.

Thus, LCM of Fractions is 276848/3.Finally, LCM of Fractions for 208/678, 2662/201 is 276848/3.