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LCM of 292, 328, 464, 870

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


Find the LCM of 292, 328, 464, 870 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 292, 328, 464, 870. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 292,328,464,870

Given numbers are 292,328,464,870

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

The LCM of 292,328,464,870 is 20831280.

Find LCM of 292,328,464,870 with Prime Factorization


2 292, 328, 464, 870
2 146, 164, 232, 435
2 73, 82, 116, 435
29 73, 41, 58, 435
73, 41, 2, 15

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

2 x 2 x 2 x 29 x 73 x 41 x 2 x 15 = 20831280

Therefore, the lowest common multiple of 292,328,464,870 is 20831280.

LCM Formula to Find Lowest Common Multiple of 292,328,464,870

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.

292 x 328 x 464 x 870 = 38662855680

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.

292 : 1, 2, 4, 73, 146, 292

328 : 1, 2, 4, 8, 41, 82, 164, 328

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,328,464,870, is 2.

Now, the common factors can be found like this.

292:2x 2x 73

328:2x 2x 2x 41

464:2x 2x 2x 2x 29

870:2x 3x 5x 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 2x 2x 2x 2x 29 = 928

Therefore, the value for common factors is 928.

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 = 38662855680/(2x928)

LCM = 38662855680/1856

LCM = 20831280

Thus, we can understand that the LCM of 292,328,464,870 is 20831280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 292, 328, 464, 870

1. What is the LCM of 292, 328, 464, 870?

Answer: LCM of 292, 328, 464, 870 is 20831280.

2. How to calculate the LCM of 292, 328, 464, 870?

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 292, 328, 464, 870.

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}.