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LCM of 625, 912, 780, 468, 874

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


Find the LCM of 625, 912, 780, 468, 874 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 625, 912, 780, 468, 874. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 625,912,780,468,874

Given numbers are 625,912,780,468,874

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

The LCM of 625,912,780,468,874 is 511290000.

Find LCM of 625,912,780,468,874 with Prime Factorization


2 625, 912, 780, 468, 874
2 625, 456, 390, 234, 437
3 625, 228, 195, 117, 437
5 625, 76, 65, 39, 437
13 125, 76, 13, 39, 437
19 125, 76, 1, 3, 437
125, 4, 1, 3, 23

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

2 x 2 x 3 x 5 x 13 x 19 x 125 x 4 x 1 x 3 x 23 = 511290000

Therefore, the lowest common multiple of 625,912,780,468,874 is 511290000.

LCM Formula to Find Lowest Common Multiple of 625,912,780,468,874

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.

625 x 912 x 780 x 468 x 874 = 181855627200000

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.

625 : 1, 5, 25, 125, 625

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,912,780,468,874, is 1.

Now, the common factors can be found like this.

625:5x 5x 5x 5

912:2x 2x 2x 2x 3x 19

780:2x 2x 3x 5x 13

468:2x 2x 3x 3x 13

874:2x 19x 23

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 3x 3x 5x 13x 19 = 355680

Therefore, the value for common factors is 355680.

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 = 181855627200000/(1x355680)

LCM = 181855627200000/355680

LCM = 511290000

Thus, we can understand that the LCM of 625,912,780,468,874 is 511290000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 625, 912, 780, 468, 874

1. What is the LCM of 625, 912, 780, 468, 874?

Answer: LCM of 625, 912, 780, 468, 874 is 511290000.

2. How to calculate the LCM of 625, 912, 780, 468, 874?

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 625, 912, 780, 468, 874.

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}.