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LCM of 814, 611, 973, 738, 670

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


Find the LCM of 814, 611, 973, 738, 670 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 814, 611, 973, 738, 670. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,611,973,738,670

Given numbers are 814,611,973,738,670

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

The LCM of 814,611,973,738,670 is 59820443512830.

Find LCM of 814,611,973,738,670 with Prime Factorization


2 814, 611, 973, 738, 670
407, 611, 973, 369, 335

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

2 x 407 x 611 x 973 x 369 x 335 = 59820443512830

Therefore, the lowest common multiple of 814,611,973,738,670 is 59820443512830.

LCM Formula to Find Lowest Common Multiple of 814,611,973,738,670

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.

814 x 611 x 973 x 738 x 670 = 239281774051320

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

611 : 1, 13, 47, 611

973 : 1, 7, 139, 973

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

670 : 1, 2, 5, 10, 67, 134, 335, 670

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,611,973,738,670, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

611:13x 47

973:7x 139

738:2x 3x 3x 41

670:2x 5x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 239281774051320/(1x4)

LCM = 239281774051320/4

LCM = 59820443512830

Thus, we can understand that the LCM of 814,611,973,738,670 is 59820443512830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 611, 973, 738, 670

1. What is the LCM of 814, 611, 973, 738, 670?

Answer: LCM of 814, 611, 973, 738, 670 is 59820443512830.

2. How to calculate the LCM of 814, 611, 973, 738, 670?

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 814, 611, 973, 738, 670.

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}.