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LCM of 667, 290, 357, 862

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


Find the LCM of 667, 290, 357, 862 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 667, 290, 357, 862. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,290,357,862

Given numbers are 667,290,357,862

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

The LCM of 667,290,357,862 is 1026292890.

Find LCM of 667,290,357,862 with Prime Factorization


2 667, 290, 357, 862
29 667, 145, 357, 431
23, 5, 357, 431

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

2 x 29 x 23 x 5 x 357 x 431 = 1026292890

Therefore, the lowest common multiple of 667,290,357,862 is 1026292890.

LCM Formula to Find Lowest Common Multiple of 667,290,357,862

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.

667 x 290 x 357 x 862 = 59524987620

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.

667 : 1, 23, 29, 667

290 : 1, 2, 5, 10, 29, 58, 145, 290

357 : 1, 3, 7, 17, 21, 51, 119, 357

862 : 1, 2, 431, 862

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,290,357,862, is 1.

Now, the common factors can be found like this.

667:23x 29

290:2x 5x 29

357:3x 7x 17

862:2x 431

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

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 59524987620/(1x58)

LCM = 59524987620/58

LCM = 1026292890

Thus, we can understand that the LCM of 667,290,357,862 is 1026292890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 290, 357, 862

1. What is the LCM of 667, 290, 357, 862?

Answer: LCM of 667, 290, 357, 862 is 1026292890.

2. How to calculate the LCM of 667, 290, 357, 862?

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 667, 290, 357, 862.

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}.