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LCM of 942, 103, 766, 428, 459

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


Find the LCM of 942, 103, 766, 428, 459 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 942, 103, 766, 428, 459. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 942,103,766,428,459

Given numbers are 942,103,766,428,459

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

The LCM of 942,103,766,428,459 is 1216724086836.

Find LCM of 942,103,766,428,459 with Prime Factorization


2 942, 103, 766, 428, 459
3 471, 103, 383, 214, 459
157, 103, 383, 214, 153

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

2 x 3 x 157 x 103 x 383 x 214 x 153 = 1216724086836

Therefore, the lowest common multiple of 942,103,766,428,459 is 1216724086836.

LCM Formula to Find Lowest Common Multiple of 942,103,766,428,459

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.

942 x 103 x 766 x 428 x 459 = 14600689042032

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.

942 : 1, 2, 3, 6, 157, 314, 471, 942

103 : 1, 103

766 : 1, 2, 383, 766

428 : 1, 2, 4, 107, 214, 428

459 : 1, 3, 9, 17, 27, 51, 153, 459

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,103,766,428,459, is 1.

Now, the common factors can be found like this.

942:2x 3x 157

103:103

766:2x 383

428:2x 2x 107

459:3x 3x 3x 17

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 3 = 12

Therefore, the value for common factors is 12.

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 = 14600689042032/(1x12)

LCM = 14600689042032/12

LCM = 1216724086836

Thus, we can understand that the LCM of 942,103,766,428,459 is 1216724086836.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 942, 103, 766, 428, 459

1. What is the LCM of 942, 103, 766, 428, 459?

Answer: LCM of 942, 103, 766, 428, 459 is 1216724086836.

2. How to calculate the LCM of 942, 103, 766, 428, 459?

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 942, 103, 766, 428, 459.

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}.