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LCM of 419, 360, 409, 678

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 419, 360, 409, 678 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 419, 360, 409, 678. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 419,360,409,678

Given numbers are 419,360,409,678

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 419,360,409,678 is 6971372280.

Find LCM of 419,360,409,678 with Prime Factorization


2 419, 360, 409, 678
3 419, 180, 409, 339
419, 60, 409, 113

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 419 x 60 x 409 x 113 = 6971372280

Therefore, the lowest common multiple of 419,360,409,678 is 6971372280.

LCM Formula to Find Lowest Common Multiple of 419,360,409,678

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

419 x 360 x 409 x 678 = 41828233680

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

419 : 1, 419

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

409 : 1, 409

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 419,360,409,678, is 1.

Now, the common factors can be found like this.

419:419

360:2x 2x 2x 3x 3x 5

409:409

678:2x 3x 113

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 41828233680/(1x6)

LCM = 41828233680/6

LCM = 6971372280

Thus, we can understand that the LCM of 419,360,409,678 is 6971372280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 419, 360, 409, 678

1. What is the LCM of 419, 360, 409, 678?

Answer: LCM of 419, 360, 409, 678 is 6971372280.

2. How to calculate the LCM of 419, 360, 409, 678?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 419, 360, 409, 678.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.