Least Common Multiple of 676/67, 219/4179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 676/67, 219/4179 quickly i.e. 148044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/67, 219/4179 is 148044.

LCM(676/67, 219/4179) = 148044

LCM of 676/67, 219/4179

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 676/67,219/4179

Given numbers are 676/67,219/4179

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 676,219

Least Common Multiple of Numerators i.e. LCM of 676,219 is 148044.

GCF of Denominators means GCF of 67,4179 as per the given fractions.

GCF of 67,4179 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,219

LCM of Fractions 676/67,219/4179 is 148044

Given numbers has no common factors except 1. So, there LCM is their product i.e 148044

Least Common Multiple of 676,219 with GCF Formula

Least Common Multiple of 676,219 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 676,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,219) = 1

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

GCF(676,219) x common factors =1 x 1 = 1

LCM(676,219) = ( 676 × 219 ) / 1

LCM(676,219) = 148044 / 1

LCM(676,219) = 148044


Lets's calculate GCF of 67,4179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148044/1

Therefore the LCM of Fractions 676/67,219/4179 is 148044

Greatest Common Factor of 67,4179 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,4179 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 4179

List of positive integer factors of 4179 that divides 4179 without a remainder.

1,3,7,21,199,597,1393,4179

Greatest Common Factor

We found the factors 67,4179 . The biggest common factor number is the GCF number.
So the greatest common factor 67,4179 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 676/67, 219/4179

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 676/67, 219/4179?

Answer: LCM of Numerators as per given numbers 676/67, 219/4179 is

LCM of Numerators i.e. for 676,219 is 148044

GCF of denominators i.e. for 67,4179 is 1.

Thus, LCM of Fractions is 148044.Finally, LCM of Fractions for 676/67, 219/4179 is 148044.