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LCM of 624, 554, 921, 553, 882

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


Find the LCM of 624, 554, 921, 553, 882 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 624, 554, 921, 553, 882. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 624,554,921,553,882

Given numbers are 624,554,921,553,882

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

The LCM of 624,554,921,553,882 is 616236133968.

Find LCM of 624,554,921,553,882 with Prime Factorization


2 624, 554, 921, 553, 882
3 312, 277, 921, 553, 441
7 104, 277, 307, 553, 147
104, 277, 307, 79, 21

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

2 x 3 x 7 x 104 x 277 x 307 x 79 x 21 = 616236133968

Therefore, the lowest common multiple of 624,554,921,553,882 is 616236133968.

LCM Formula to Find Lowest Common Multiple of 624,554,921,553,882

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.

624 x 554 x 921 x 553 x 882 = 155291505759936

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

554 : 1, 2, 277, 554

921 : 1, 3, 307, 921

553 : 1, 7, 79, 553

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,554,921,553,882, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

554:2x 277

921:3x 307

553:7x 79

882:2x 3x 3x 7x 7

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 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 155291505759936/(1x252)

LCM = 155291505759936/252

LCM = 616236133968

Thus, we can understand that the LCM of 624,554,921,553,882 is 616236133968.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 624, 554, 921, 553, 882

1. What is the LCM of 624, 554, 921, 553, 882?

Answer: LCM of 624, 554, 921, 553, 882 is 616236133968.

2. How to calculate the LCM of 624, 554, 921, 553, 882?

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 624, 554, 921, 553, 882.

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}.