LCM of 395, 502, 869, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 395, 502, 869, 748 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 395, 502, 869, 748. So, keep reading to learn more.
Given numbers are 395,502,869,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 395,502,869,748 is 74160460.
Find LCM of 395,502,869,748 with Prime Factorization
| 2 | 395, 502, 869, 748 |
| 11 | 395, 251, 869, 374 |
| 79 | 395, 251, 79, 34 |
| 5, 251, 1, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 79 x 5 x 251 x 1 x 34 = 74160460
Therefore, the lowest common multiple of 395,502,869,748 is 74160460.
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.
395 x 502 x 869 x 748 = 128890879480
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.
395 : 1, 5, 79, 395
502 : 1, 2, 251, 502
869 : 1, 11, 79, 869
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,502,869,748, is 1.
Now, the common factors can be found like this.
395:5x 79
502:2x 251
869:11x 79
748:2x 2x 11x 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 11x 79 = 1738
Therefore, the value for common factors is 1738.
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 = 128890879480/(1x1738)
LCM = 128890879480/1738
LCM = 74160460
Thus, we can understand that the LCM of 395,502,869,748 is 74160460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 395, 502, 869, 748
1. What is the LCM of 395, 502, 869, 748?
Answer: LCM of 395, 502, 869, 748 is 74160460.
2. How to calculate the LCM of 395, 502, 869, 748?
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 395, 502, 869, 748.
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}.