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LCM of 391, 969, 818, 756

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


Find the LCM of 391, 969, 818, 756 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 391, 969, 818, 756. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,969,818,756

Given numbers are 391,969,818,756

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

The LCM of 391,969,818,756 is 2297076516.

Find LCM of 391,969,818,756 with Prime Factorization


2 391, 969, 818, 756
3 391, 969, 409, 378
17 391, 323, 409, 126
23, 19, 409, 126

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

2 x 3 x 17 x 23 x 19 x 409 x 126 = 2297076516

Therefore, the lowest common multiple of 391,969,818,756 is 2297076516.

LCM Formula to Find Lowest Common Multiple of 391,969,818,756

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.

391 x 969 x 818 x 756 = 234301804632

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.

391 : 1, 17, 23, 391

969 : 1, 3, 17, 19, 51, 57, 323, 969

818 : 1, 2, 409, 818

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,969,818,756, is 1.

Now, the common factors can be found like this.

391:17x 23

969:3x 17x 19

818:2x 409

756:2x 2x 3x 3x 3x 7

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

2x 3x 17 = 102

Therefore, the value for common factors is 102.

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 = 234301804632/(1x102)

LCM = 234301804632/102

LCM = 2297076516

Thus, we can understand that the LCM of 391,969,818,756 is 2297076516.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 969, 818, 756

1. What is the LCM of 391, 969, 818, 756?

Answer: LCM of 391, 969, 818, 756 is 2297076516.

2. How to calculate the LCM of 391, 969, 818, 756?

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 391, 969, 818, 756.

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}.