Least Common Multiple of 1742/276, 3133/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1742/276, 3133/679 quickly i.e. 419822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1742/276, 3133/679 is 419822.

LCM(1742/276, 3133/679) = 419822

LCM of 1742/276, 3133/679

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 1742/276,3133/679

Given numbers are 1742/276,3133/679

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 1742,3133

Least Common Multiple of Numerators i.e. LCM of 1742,3133 is 419822.

GCF of Denominators means GCF of 276,679 as per the given fractions.

GCF of 276,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1742,3133

LCM of Fractions 1742/276,3133/679 is 419822

13 1742, 3133
134, 241

∴ So the LCM of the given numbers is 13 x 134 x 241 = 419822

Least Common Multiple of 1742,3133 with GCF Formula

Least Common Multiple of 1742,3133 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 1742,3133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1742,3133) = 13

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

GCF(1742,3133) x common factors =13 x 1 = 13

LCM(1742,3133) = ( 1742 × 3133 ) / 13

LCM(1742,3133) = 5457686 / 13

LCM(1742,3133) = 419822


Lets's calculate GCF of 276,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 419822/1

Therefore the LCM of Fractions 1742/276,3133/679 is 419822

Greatest Common Factor of 276,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,679 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 276,679 . The biggest common factor number is the GCF number.
So the greatest common factor 276,679 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 1742/276, 3133/679

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 1742/276, 3133/679?

Answer: LCM of Numerators as per given numbers 1742/276, 3133/679 is

LCM of Numerators i.e. for 1742,3133 is 419822

GCF of denominators i.e. for 276,679 is 1.

Thus, LCM of Fractions is 419822.Finally, LCM of Fractions for 1742/276, 3133/679 is 419822.