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LCM of 667, 690, 208, 143

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


Find the LCM of 667, 690, 208, 143 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, 690, 208, 143. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,690,208,143

Given numbers are 667,690,208,143

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

The LCM of 667,690,208,143 is 22891440.

Find LCM of 667,690,208,143 with Prime Factorization


2 667, 690, 208, 143
13 667, 345, 104, 143
23 667, 345, 8, 11
29, 15, 8, 11

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

2 x 13 x 23 x 29 x 15 x 8 x 11 = 22891440

Therefore, the lowest common multiple of 667,690,208,143 is 22891440.

LCM Formula to Find Lowest Common Multiple of 667,690,208,143

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 690 x 208 x 143 = 13689081120

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

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,690,208,143, is 1.

Now, the common factors can be found like this.

667:23x 29

690:2x 3x 5x 23

208:2x 2x 2x 2x 13

143:11x 13

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

2x 13x 23 = 598

Therefore, the value for common factors is 598.

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 = 13689081120/(1x598)

LCM = 13689081120/598

LCM = 22891440

Thus, we can understand that the LCM of 667,690,208,143 is 22891440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 690, 208, 143

1. What is the LCM of 667, 690, 208, 143?

Answer: LCM of 667, 690, 208, 143 is 22891440.

2. How to calculate the LCM of 667, 690, 208, 143?

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, 690, 208, 143.

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}.