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LCM of 758, 967, 966, 478, 551

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


Find the LCM of 758, 967, 966, 478, 551 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 758, 967, 966, 478, 551. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 758,967,966,478,551

Given numbers are 758,967,966,478,551

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

The LCM of 758,967,966,478,551 is 46622151389982.

Find LCM of 758,967,966,478,551 with Prime Factorization


2 758, 967, 966, 478, 551
379, 967, 483, 239, 551

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

2 x 379 x 967 x 483 x 239 x 551 = 46622151389982

Therefore, the lowest common multiple of 758,967,966,478,551 is 46622151389982.

LCM Formula to Find Lowest Common Multiple of 758,967,966,478,551

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.

758 x 967 x 966 x 478 x 551 = 186488605559928

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.

758 : 1, 2, 379, 758

967 : 1, 967

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

478 : 1, 2, 239, 478

551 : 1, 19, 29, 551

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,967,966,478,551, is 1.

Now, the common factors can be found like this.

758:2x 379

967:967

966:2x 3x 7x 23

478:2x 239

551:19x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 186488605559928/(1x4)

LCM = 186488605559928/4

LCM = 46622151389982

Thus, we can understand that the LCM of 758,967,966,478,551 is 46622151389982.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 758, 967, 966, 478, 551

1. What is the LCM of 758, 967, 966, 478, 551?

Answer: LCM of 758, 967, 966, 478, 551 is 46622151389982.

2. How to calculate the LCM of 758, 967, 966, 478, 551?

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 758, 967, 966, 478, 551.

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}.