What are the Factors of 68136074664 ?

Factors of 68136074664 are . There are integers that are factors of 68136074664.

How to Find the LCM of 343, 978, 493, 824 ?

Least Common Multiple of 343, 978, 493, 824 = 68136074664 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(343, 978, 493, 824) = 2 x 2 x 2 x 3 x 7 x 7 x 7 x 17 x 29 x 103 x 163 = 68136074664.

What are the Factors of 68136074664 ?

Factors of 68136074664 are . There are integers that are factors of 68136074664.

How to Find the LCM of 343, 978, 493, 824 ?

Least Common Multiple of 343, 978, 493, 824 = 68136074664 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(343, 978, 493, 824) = 2 x 2 x 2 x 3 x 7 x 7 x 7 x 17 x 29 x 103 x 163 = 68136074664.

LCM of 343, 978, 493, 824

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

Find the LCM of 343, 978, 493, 824 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 343, 978, 493, 824. So, keep reading to learn more.

Calculate the LCM of 343,978,493,824

Given numbers are 343,978,493,824

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

The LCM of 343,978,493,824 is 68136074664.

Find LCM of 343,978,493,824 with Prime Factorization

2	343, 978, 493, 824
	343, 489, 493, 412

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

2 x 343 x 489 x 493 x 412 = 68136074664

Therefore, the lowest common multiple of 343,978,493,824 is 68136074664.

LCM Formula to Find Lowest Common Multiple of 343,978,493,824

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.

343 x 978 x 493 x 824 = 136272149328

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.

343 : 1, 7, 49, 343

978 : 1, 2, 3, 6, 163, 326, 489, 978

493 : 1, 17, 29, 493

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,978,493,824, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

978:2x 3x 163

493:17x 29

824:2x 2x 2x 103

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

2 = 2

Therefore, the value for common factors is 2.

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 = 136272149328/(1x2)

LCM = 136272149328/2

LCM = 68136074664

Thus, we can understand that the LCM of 343,978,493,824 is 68136074664.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 343, 978, 493, 824

1. What is the LCM of 343, 978, 493, 824?

Answer: LCM of 343, 978, 493, 824 is 68136074664.

2. How to calculate the LCM of 343, 978, 493, 824?

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 343, 978, 493, 824.

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}.