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LCM of 654, 697, 670, 821, 106

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


Find the LCM of 654, 697, 670, 821, 106 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 654, 697, 670, 821, 106. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 654,697,670,821,106

Given numbers are 654,697,670,821,106

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

The LCM of 654,697,670,821,106 is 6644684429490.

Find LCM of 654,697,670,821,106 with Prime Factorization


2 654, 697, 670, 821, 106
327, 697, 335, 821, 53

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

2 x 327 x 697 x 335 x 821 x 53 = 6644684429490

Therefore, the lowest common multiple of 654,697,670,821,106 is 6644684429490.

LCM Formula to Find Lowest Common Multiple of 654,697,670,821,106

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.

654 x 697 x 670 x 821 x 106 = 26578737717960

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.

654 : 1, 2, 3, 6, 109, 218, 327, 654

697 : 1, 17, 41, 697

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

821 : 1, 821

106 : 1, 2, 53, 106

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,697,670,821,106, is 1.

Now, the common factors can be found like this.

654:2x 3x 109

697:17x 41

670:2x 5x 67

821:821

106:2x 53

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 = 26578737717960/(1x4)

LCM = 26578737717960/4

LCM = 6644684429490

Thus, we can understand that the LCM of 654,697,670,821,106 is 6644684429490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 654, 697, 670, 821, 106

1. What is the LCM of 654, 697, 670, 821, 106?

Answer: LCM of 654, 697, 670, 821, 106 is 6644684429490.

2. How to calculate the LCM of 654, 697, 670, 821, 106?

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 654, 697, 670, 821, 106.

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}.