Least Common Multiple of 545/429, 3747/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 545/429, 3747/414 quickly i.e. 680705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 545/429, 3747/414 is 680705.

LCM(545/429, 3747/414) = 680705

LCM of 545/429, 3747/414

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 545/429,3747/414

Given numbers are 545/429,3747/414

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 545,3747

Least Common Multiple of Numerators i.e. LCM of 545,3747 is 2042115.

GCF of Denominators means GCF of 429,414 as per the given fractions.

GCF of 429,414 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 545,3747

LCM of Fractions 545/429,3747/414 is 680705

Given numbers has no common factors except 1. So, there LCM is their product i.e 2042115

Least Common Multiple of 545,3747 with GCF Formula

Least Common Multiple of 545,3747 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 545,3747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,3747) = 1

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

GCF(545,3747) x common factors =1 x 1 = 1

LCM(545,3747) = ( 545 × 3747 ) / 1

LCM(545,3747) = 2042115 / 1

LCM(545,3747) = 2042115


Lets's calculate GCF of 429,414

3 429, 414
143, 138

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2042115/3

Therefore the LCM of Fractions 545/429,3747/414 is 680705

Greatest Common Factor of 429,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,414 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

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

Greatest Common Factor

We found the factors 429,414 . The biggest common factor number is the GCF number.
So the greatest common factor 429,414 is 3.


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 545/429, 3747/414

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 545/429, 3747/414?

Answer: LCM of Numerators as per given numbers 545/429, 3747/414 is

LCM of Numerators i.e. for 545,3747 is 2042115

GCF of denominators i.e. for 429,414 is 3.

Thus, LCM of Fractions is 680705.Finally, LCM of Fractions for 545/429, 3747/414 is 680705.