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LCM of 878, 456, 551, 690

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


Find the LCM of 878, 456, 551, 690 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 878, 456, 551, 690. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 878,456,551,690

Given numbers are 878,456,551,690

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

The LCM of 878,456,551,690 is 667613640.

Find LCM of 878,456,551,690 with Prime Factorization


2 878, 456, 551, 690
3 439, 228, 551, 345
19 439, 76, 551, 115
439, 4, 29, 115

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

2 x 3 x 19 x 439 x 4 x 29 x 115 = 667613640

Therefore, the lowest common multiple of 878,456,551,690 is 667613640.

LCM Formula to Find Lowest Common Multiple of 878,456,551,690

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.

878 x 456 x 551 x 690 = 152215909920

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.

878 : 1, 2, 439, 878

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

551 : 1, 19, 29, 551

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,456,551,690, is 1.

Now, the common factors can be found like this.

878:2x 439

456:2x 2x 2x 3x 19

551:19x 29

690:2x 3x 5x 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 3x 19 = 228

Therefore, the value for common factors is 228.

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 = 152215909920/(1x228)

LCM = 152215909920/228

LCM = 667613640

Thus, we can understand that the LCM of 878,456,551,690 is 667613640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 878, 456, 551, 690

1. What is the LCM of 878, 456, 551, 690?

Answer: LCM of 878, 456, 551, 690 is 667613640.

2. How to calculate the LCM of 878, 456, 551, 690?

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 878, 456, 551, 690.

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}.