Least Common Multiple of 42/414, 3370/2687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 42/414, 3370/2687 quickly i.e. 70770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/414, 3370/2687 is 70770.

LCM(42/414, 3370/2687) = 70770

LCM of 42/414, 3370/2687

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 42/414,3370/2687

Given numbers are 42/414,3370/2687

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 42,3370

Least Common Multiple of Numerators i.e. LCM of 42,3370 is 70770.

GCF of Denominators means GCF of 414,2687 as per the given fractions.

GCF of 414,2687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,3370

LCM of Fractions 42/414,3370/2687 is 70770

2 42, 3370
21, 1685

∴ So the LCM of the given numbers is 2 x 21 x 1685 = 70770

Least Common Multiple of 42,3370 with GCF Formula

Least Common Multiple of 42,3370 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 42,3370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,3370) = 2

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

GCF(42,3370) x common factors =2 x 1 = 2

LCM(42,3370) = ( 42 × 3370 ) / 2

LCM(42,3370) = 141540 / 2

LCM(42,3370) = 70770


Lets's calculate GCF of 414,2687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70770/1

Therefore the LCM of Fractions 42/414,3370/2687 is 70770

Greatest Common Factor of 414,2687 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,2687 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 2687

List of positive integer factors of 2687 that divides 2687 without a remainder.

1,2687

Greatest Common Factor

We found the factors 414,2687 . The biggest common factor number is the GCF number.
So the greatest common factor 414,2687 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 42/414, 3370/2687

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 42/414, 3370/2687?

Answer: LCM of Numerators as per given numbers 42/414, 3370/2687 is

LCM of Numerators i.e. for 42,3370 is 70770

GCF of denominators i.e. for 414,2687 is 1.

Thus, LCM of Fractions is 70770.Finally, LCM of Fractions for 42/414, 3370/2687 is 70770.