LCM of 383, 874, 657, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 383, 874, 657, 902 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 383, 874, 657, 902. So, keep reading to learn more.
Given numbers are 383,874,657,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 383,874,657,902 is 99186397794.
Find LCM of 383,874,657,902 with Prime Factorization
| 2 | 383, 874, 657, 902 |
| 383, 437, 657, 451 |
Multiply the prime numbers at the bottom and the left side.
2 x 383 x 437 x 657 x 451 = 99186397794
Therefore, the lowest common multiple of 383,874,657,902 is 99186397794.
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.
383 x 874 x 657 x 902 = 198372795588
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.
383 : 1, 383
874 : 1, 2, 19, 23, 38, 46, 437, 874
657 : 1, 3, 9, 73, 219, 657
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,874,657,902, is 1.
Now, the common factors can be found like this.
383:383
874:2x 19x 23
657:3x 3x 73
902:2x 11x 41
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 = 198372795588/(1x2)
LCM = 198372795588/2
LCM = 99186397794
Thus, we can understand that the LCM of 383,874,657,902 is 99186397794.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 383, 874, 657, 902
1. What is the LCM of 383, 874, 657, 902?
Answer: LCM of 383, 874, 657, 902 is 99186397794.
2. How to calculate the LCM of 383, 874, 657, 902?
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 383, 874, 657, 902.
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}.