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LCM of 9, 624, 596, 149

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


Find the LCM of 9, 624, 596, 149 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 9, 624, 596, 149. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9,624,596,149

Given numbers are 9,624,596,149

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

The LCM of 9,624,596,149 is 278928.

Find LCM of 9,624,596,149 with Prime Factorization


2 9, 624, 596, 149
2 9, 312, 298, 149
3 9, 156, 149, 149
149 3, 52, 149, 149
3, 52, 1, 1

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

2 x 2 x 3 x 149 x 3 x 52 x 1 x 1 = 278928

Therefore, the lowest common multiple of 9,624,596,149 is 278928.

LCM Formula to Find Lowest Common Multiple of 9,624,596,149

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.

9 x 624 x 596 x 149 = 498723264

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.

9 : 1, 3, 9

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

596 : 1, 2, 4, 149, 298, 596

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9,624,596,149, is 1.

Now, the common factors can be found like this.

9:3x 3

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

596:2x 2x 149

149:149

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 149 = 1788

Therefore, the value for common factors is 1788.

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 = 498723264/(1x1788)

LCM = 498723264/1788

LCM = 278928

Thus, we can understand that the LCM of 9,624,596,149 is 278928.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 9, 624, 596, 149

1. What is the LCM of 9, 624, 596, 149?

Answer: LCM of 9, 624, 596, 149 is 278928.

2. How to calculate the LCM of 9, 624, 596, 149?

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 9, 624, 596, 149.

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}.