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LCM of 286, 480, 107, 362

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


Find the LCM of 286, 480, 107, 362 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 286, 480, 107, 362. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 286,480,107,362

Given numbers are 286,480,107,362

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

The LCM of 286,480,107,362 is 1329350880.

Find LCM of 286,480,107,362 with Prime Factorization


2 286, 480, 107, 362
143, 240, 107, 181

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

2 x 143 x 240 x 107 x 181 = 1329350880

Therefore, the lowest common multiple of 286,480,107,362 is 1329350880.

LCM Formula to Find Lowest Common Multiple of 286,480,107,362

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.

286 x 480 x 107 x 362 = 5317403520

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.

286 : 1, 2, 11, 13, 22, 26, 143, 286

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

107 : 1, 107

362 : 1, 2, 181, 362

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,480,107,362, is 1.

Now, the common factors can be found like this.

286:2x 11x 13

480:2x 2x 2x 2x 2x 3x 5

107:107

362:2x 181

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 = 5317403520/(1x4)

LCM = 5317403520/4

LCM = 1329350880

Thus, we can understand that the LCM of 286,480,107,362 is 1329350880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 286, 480, 107, 362

1. What is the LCM of 286, 480, 107, 362?

Answer: LCM of 286, 480, 107, 362 is 1329350880.

2. How to calculate the LCM of 286, 480, 107, 362?

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 286, 480, 107, 362.

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}.