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LCM of 354, 348, 783, 420

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


Find the LCM of 354, 348, 783, 420 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 354, 348, 783, 420. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 354,348,783,420

Given numbers are 354,348,783,420

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

The LCM of 354,348,783,420 is 6467580.

Find LCM of 354,348,783,420 with Prime Factorization


2 354, 348, 783, 420
2 177, 174, 783, 210
3 177, 87, 783, 105
29 59, 29, 261, 35
59, 1, 9, 35

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

2 x 2 x 3 x 29 x 59 x 1 x 9 x 35 = 6467580

Therefore, the lowest common multiple of 354,348,783,420 is 6467580.

LCM Formula to Find Lowest Common Multiple of 354,348,783,420

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.

354 x 348 x 783 x 420 = 40512921120

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

783 : 1, 3, 9, 27, 29, 87, 261, 783

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,348,783,420, is 3.

Now, the common factors can be found like this.

354:2x 3x 59

348:2x 2x 3x 29

783:3x 3x 3x 29

420:2x 2x 3x 5x 7

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

2x 2x 2x 3x 3x 29 = 2088

Therefore, the value for common factors is 2088.

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 = 40512921120/(3x2088)

LCM = 40512921120/6264

LCM = 6467580

Thus, we can understand that the LCM of 354,348,783,420 is 6467580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 354, 348, 783, 420

1. What is the LCM of 354, 348, 783, 420?

Answer: LCM of 354, 348, 783, 420 is 6467580.

2. How to calculate the LCM of 354, 348, 783, 420?

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 354, 348, 783, 420.

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}.