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LCM of 920, 858, 362, 374, 297

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


Find the LCM of 920, 858, 362, 374, 297 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 920, 858, 362, 374, 297. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 920,858,362,374,297

Given numbers are 920,858,362,374,297

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

The LCM of 920,858,362,374,297 is 10929873240.

Find LCM of 920,858,362,374,297 with Prime Factorization


2 920, 858, 362, 374, 297
3 460, 429, 181, 187, 297
11 460, 143, 181, 187, 99
460, 13, 181, 17, 9

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

2 x 3 x 11 x 460 x 13 x 181 x 17 x 9 = 10929873240

Therefore, the lowest common multiple of 920,858,362,374,297 is 10929873240.

LCM Formula to Find Lowest Common Multiple of 920,858,362,374,297

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.

920 x 858 x 362 x 374 x 297 = 31740351888960

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

362 : 1, 2, 181, 362

374 : 1, 2, 11, 17, 22, 34, 187, 374

297 : 1, 3, 9, 11, 27, 33, 99, 297

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,858,362,374,297, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

858:2x 3x 11x 13

362:2x 181

374:2x 11x 17

297:3x 3x 3x 11

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 3x 11x 11 = 2904

Therefore, the value for common factors is 2904.

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 = 31740351888960/(1x2904)

LCM = 31740351888960/2904

LCM = 10929873240

Thus, we can understand that the LCM of 920,858,362,374,297 is 10929873240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 920, 858, 362, 374, 297

1. What is the LCM of 920, 858, 362, 374, 297?

Answer: LCM of 920, 858, 362, 374, 297 is 10929873240.

2. How to calculate the LCM of 920, 858, 362, 374, 297?

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 920, 858, 362, 374, 297.

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}.