LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 438, 780, 858, 422

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


Find the LCM of 438, 780, 858, 422 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 438, 780, 858, 422. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 438,780,858,422

Given numbers are 438,780,858,422

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

The LCM of 438,780,858,422 is 132157740.

Find LCM of 438,780,858,422 with Prime Factorization


2 438, 780, 858, 422
3 219, 390, 429, 211
13 73, 130, 143, 211
73, 10, 11, 211

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

2 x 3 x 13 x 73 x 10 x 11 x 211 = 132157740

Therefore, the lowest common multiple of 438,780,858,422 is 132157740.

LCM Formula to Find Lowest Common Multiple of 438,780,858,422

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.

438 x 780 x 858 x 422 = 123699644640

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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

422 : 1, 2, 211, 422

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,780,858,422, is 2.

Now, the common factors can be found like this.

438:2x 3x 73

780:2x 2x 3x 5x 13

858:2x 3x 11x 13

422:2x 211

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 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 123699644640/(2x468)

LCM = 123699644640/936

LCM = 132157740

Thus, we can understand that the LCM of 438,780,858,422 is 132157740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 438, 780, 858, 422

1. What is the LCM of 438, 780, 858, 422?

Answer: LCM of 438, 780, 858, 422 is 132157740.

2. How to calculate the LCM of 438, 780, 858, 422?

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 438, 780, 858, 422.

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}.