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LCM of 735, 896, 879, 648

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


Find the LCM of 735, 896, 879, 648 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 735, 896, 879, 648. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 735,896,879,648

Given numbers are 735,896,879,648

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

The LCM of 735,896,879,648 is 744266880.

Find LCM of 735,896,879,648 with Prime Factorization


2 735, 896, 879, 648
2 735, 448, 879, 324
2 735, 224, 879, 162
3 735, 112, 879, 81
7 245, 112, 293, 27
35, 16, 293, 27

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

2 x 2 x 2 x 3 x 7 x 35 x 16 x 293 x 27 = 744266880

Therefore, the lowest common multiple of 735,896,879,648 is 744266880.

LCM Formula to Find Lowest Common Multiple of 735,896,879,648

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.

735 x 896 x 879 x 648 = 375110507520

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

879 : 1, 3, 293, 879

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,896,879,648, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

896:2x 2x 2x 2x 2x 2x 2x 7

879:3x 293

648:2x 2x 2x 3x 3x 3x 3

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 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 375110507520/(1x504)

LCM = 375110507520/504

LCM = 744266880

Thus, we can understand that the LCM of 735,896,879,648 is 744266880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 735, 896, 879, 648

1. What is the LCM of 735, 896, 879, 648?

Answer: LCM of 735, 896, 879, 648 is 744266880.

2. How to calculate the LCM of 735, 896, 879, 648?

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 735, 896, 879, 648.

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}.