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LCM of 902, 489, 107, 452

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


Find the LCM of 902, 489, 107, 452 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 902, 489, 107, 452. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,489,107,452

Given numbers are 902,489,107,452

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

The LCM of 902,489,107,452 is 10666148196.

Find LCM of 902,489,107,452 with Prime Factorization


2 902, 489, 107, 452
451, 489, 107, 226

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

2 x 451 x 489 x 107 x 226 = 10666148196

Therefore, the lowest common multiple of 902,489,107,452 is 10666148196.

LCM Formula to Find Lowest Common Multiple of 902,489,107,452

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.

902 x 489 x 107 x 452 = 21332296392

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

489 : 1, 3, 163, 489

107 : 1, 107

452 : 1, 2, 4, 113, 226, 452

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,489,107,452, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

489:3x 163

107:107

452:2x 2x 113

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

2 = 2

Therefore, the value for common factors is 2.

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 = 21332296392/(1x2)

LCM = 21332296392/2

LCM = 10666148196

Thus, we can understand that the LCM of 902,489,107,452 is 10666148196.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 489, 107, 452

1. What is the LCM of 902, 489, 107, 452?

Answer: LCM of 902, 489, 107, 452 is 10666148196.

2. How to calculate the LCM of 902, 489, 107, 452?

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 902, 489, 107, 452.

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}.