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LCM of 348, 698, 247, 402

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


Find the LCM of 348, 698, 247, 402 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 348, 698, 247, 402. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 348,698,247,402

Given numbers are 348,698,247,402

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

The LCM of 348,698,247,402 is 2009909148.

Find LCM of 348,698,247,402 with Prime Factorization


2 348, 698, 247, 402
3 174, 349, 247, 201
58, 349, 247, 67

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

2 x 3 x 58 x 349 x 247 x 67 = 2009909148

Therefore, the lowest common multiple of 348,698,247,402 is 2009909148.

LCM Formula to Find Lowest Common Multiple of 348,698,247,402

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.

348 x 698 x 247 x 402 = 24118909776

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.

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

698 : 1, 2, 349, 698

247 : 1, 13, 19, 247

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,698,247,402, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

698:2x 349

247:13x 19

402:2x 3x 67

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 3 = 12

Therefore, the value for common factors is 12.

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 = 24118909776/(1x12)

LCM = 24118909776/12

LCM = 2009909148

Thus, we can understand that the LCM of 348,698,247,402 is 2009909148.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 348, 698, 247, 402

1. What is the LCM of 348, 698, 247, 402?

Answer: LCM of 348, 698, 247, 402 is 2009909148.

2. How to calculate the LCM of 348, 698, 247, 402?

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 348, 698, 247, 402.

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}.