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LCM of 315, 312, 956, 865, 692

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


Find the LCM of 315, 312, 956, 865, 692 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 315, 312, 956, 865, 692. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 315,312,956,865,692

Given numbers are 315,312,956,865,692

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

The LCM of 315,312,956,865,692 is 1354527720.

Find LCM of 315,312,956,865,692 with Prime Factorization


2 315, 312, 956, 865, 692
2 315, 156, 478, 865, 346
3 315, 78, 239, 865, 173
5 105, 26, 239, 865, 173
173 21, 26, 239, 173, 173
21, 26, 239, 1, 1

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

2 x 2 x 3 x 5 x 173 x 21 x 26 x 239 x 1 x 1 = 1354527720

Therefore, the lowest common multiple of 315,312,956,865,692 is 1354527720.

LCM Formula to Find Lowest Common Multiple of 315,312,956,865,692

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.

315 x 312 x 956 x 865 x 692 = 56239990934400

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

956 : 1, 2, 4, 239, 478, 956

865 : 1, 5, 173, 865

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,312,956,865,692, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

312:2x 2x 2x 3x 13

956:2x 2x 239

865:5x 173

692:2x 2x 173

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 3x 5x 173 = 41520

Therefore, the value for common factors is 41520.

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 = 56239990934400/(1x41520)

LCM = 56239990934400/41520

LCM = 1354527720

Thus, we can understand that the LCM of 315,312,956,865,692 is 1354527720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 315, 312, 956, 865, 692

1. What is the LCM of 315, 312, 956, 865, 692?

Answer: LCM of 315, 312, 956, 865, 692 is 1354527720.

2. How to calculate the LCM of 315, 312, 956, 865, 692?

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 315, 312, 956, 865, 692.

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}.