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LCM of 654, 619, 553, 553

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


Find the LCM of 654, 619, 553, 553 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, 619, 553, 553. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 654,619,553,553

Given numbers are 654,619,553,553

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

The LCM of 654,619,553,553 is 223868778.

Find LCM of 654,619,553,553 with Prime Factorization


7 654, 619, 553, 553
79 654, 619, 79, 79
654, 619, 1, 1

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

7 x 79 x 654 x 619 x 1 x 1 = 223868778

Therefore, the lowest common multiple of 654,619,553,553 is 223868778.

LCM Formula to Find Lowest Common Multiple of 654,619,553,553

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 619 x 553 x 553 = 123799434234

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

619 : 1, 619

553 : 1, 7, 79, 553

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,619,553,553, is 1.

Now, the common factors can be found like this.

654:2x 3x 109

619:619

553:7x 79

553:7x 79

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

7x 79 = 553

Therefore, the value for common factors is 553.

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 = 123799434234/(1x553)

LCM = 123799434234/553

LCM = 223868778

Thus, we can understand that the LCM of 654,619,553,553 is 223868778.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 654, 619, 553, 553

1. What is the LCM of 654, 619, 553, 553?

Answer: LCM of 654, 619, 553, 553 is 223868778.

2. How to calculate the LCM of 654, 619, 553, 553?

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, 619, 553, 553.

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}.