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LCM of 821, 436, 672, 624

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


Find the LCM of 821, 436, 672, 624 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 821, 436, 672, 624. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 821,436,672,624

Given numbers are 821,436,672,624

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

The LCM of 821,436,672,624 is 781775904.

Find LCM of 821,436,672,624 with Prime Factorization


2 821, 436, 672, 624
2 821, 218, 336, 312
2 821, 109, 168, 156
2 821, 109, 84, 78
3 821, 109, 42, 39
821, 109, 14, 13

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

2 x 2 x 2 x 2 x 3 x 821 x 109 x 14 x 13 = 781775904

Therefore, the lowest common multiple of 821,436,672,624 is 781775904.

LCM Formula to Find Lowest Common Multiple of 821,436,672,624

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.

821 x 436 x 672 x 624 = 150100973568

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.

821 : 1, 821

436 : 1, 2, 4, 109, 218, 436

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,436,672,624, is 1.

Now, the common factors can be found like this.

821:821

436:2x 2x 109

672:2x 2x 2x 2x 2x 3x 7

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

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 2x 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 150100973568/(1x192)

LCM = 150100973568/192

LCM = 781775904

Thus, we can understand that the LCM of 821,436,672,624 is 781775904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 821, 436, 672, 624

1. What is the LCM of 821, 436, 672, 624?

Answer: LCM of 821, 436, 672, 624 is 781775904.

2. How to calculate the LCM of 821, 436, 672, 624?

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 821, 436, 672, 624.

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}.