Least Common Multiple of 1661/767, 7890/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1661/767, 7890/221 quickly i.e. 13105290/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1661/767, 7890/221 is 13105290/13.

LCM(1661/767, 7890/221) = 13105290/13

LCM of 1661/767, 7890/221

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 1661/767,7890/221

Given numbers are 1661/767,7890/221

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 1661,7890

Least Common Multiple of Numerators i.e. LCM of 1661,7890 is 13105290.

GCF of Denominators means GCF of 767,221 as per the given fractions.

GCF of 767,221 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1661,7890

LCM of Fractions 1661/767,7890/221 is 13105290/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 13105290

Least Common Multiple of 1661,7890 with GCF Formula

Least Common Multiple of 1661,7890 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 1661,7890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1661,7890) = 1

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

GCF(1661,7890) x common factors =1 x 1 = 1

LCM(1661,7890) = ( 1661 × 7890 ) / 1

LCM(1661,7890) = 13105290 / 1

LCM(1661,7890) = 13105290


Lets's calculate GCF of 767,221

13 767, 221
59, 17

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13105290/13

Therefore the LCM of Fractions 1661/767,7890/221 is 13105290/13

Greatest Common Factor of 767,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,221 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 767,221 . The biggest common factor number is the GCF number.
So the greatest common factor 767,221 is 13.


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 1661/767, 7890/221

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 1661/767, 7890/221?

Answer: LCM of Numerators as per given numbers 1661/767, 7890/221 is

LCM of Numerators i.e. for 1661,7890 is 13105290

GCF of denominators i.e. for 767,221 is 13.

Thus, LCM of Fractions is 13105290/13.Finally, LCM of Fractions for 1661/767, 7890/221 is 13105290/13.