Least Common Multiple of 142/514, 6106/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 142/514, 6106/267 quickly i.e. 6106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/514, 6106/267 is 6106.

LCM(142/514, 6106/267) = 6106

LCM of 142/514, 6106/267

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 142/514,6106/267

Given numbers are 142/514,6106/267

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 142,6106

Least Common Multiple of Numerators i.e. LCM of 142,6106 is 6106.

GCF of Denominators means GCF of 514,267 as per the given fractions.

GCF of 514,267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,6106

LCM of Fractions 142/514,6106/267 is 6106

2 142, 6106
71 71, 3053
1, 43

∴ So the LCM of the given numbers is 2 x 71 x 1 x 43 = 6106

Least Common Multiple of 142,6106 with GCF Formula

Least Common Multiple of 142,6106 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 142,6106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,6106) = 142

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

GCF(142,6106) x common factors =142 x 1 = 142

LCM(142,6106) = ( 142 × 6106 ) / 142

LCM(142,6106) = 867052 / 142

LCM(142,6106) = 6106


Lets's calculate GCF of 514,267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6106/1

Therefore the LCM of Fractions 142/514,6106/267 is 6106

Greatest Common Factor of 514,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,267 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 514,267 . The biggest common factor number is the GCF number.
So the greatest common factor 514,267 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 142/514, 6106/267

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 142/514, 6106/267?

Answer: LCM of Numerators as per given numbers 142/514, 6106/267 is

LCM of Numerators i.e. for 142,6106 is 6106

GCF of denominators i.e. for 514,267 is 1.

Thus, LCM of Fractions is 6106.Finally, LCM of Fractions for 142/514, 6106/267 is 6106.