LCM of 761, 465, 629, 341, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 761, 465, 629, 341, 874 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 761, 465, 629, 341, 874. So, keep reading to learn more.
Given numbers are 761,465,629,341,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 761,465,629,341,874 is 2139894551190.
Find LCM of 761,465,629,341,874 with Prime Factorization
| 31 | 761, 465, 629, 341, 874 |
| 761, 15, 629, 11, 874 |
Multiply the prime numbers at the bottom and the left side.
31 x 761 x 15 x 629 x 11 x 874 = 2139894551190
Therefore, the lowest common multiple of 761,465,629,341,874 is 2139894551190.
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.
761 x 465 x 629 x 341 x 874 = 66336731086890
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.
761 : 1, 761
465 : 1, 3, 5, 15, 31, 93, 155, 465
629 : 1, 17, 37, 629
341 : 1, 11, 31, 341
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,465,629,341,874, is 1.
Now, the common factors can be found like this.
761:761
465:3x 5x 31
629:17x 37
341:11x 31
874:2x 19x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
31 = 31
Therefore, the value for common factors is 31.
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 = 66336731086890/(1x31)
LCM = 66336731086890/31
LCM = 2139894551190
Thus, we can understand that the LCM of 761,465,629,341,874 is 2139894551190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 761, 465, 629, 341, 874
1. What is the LCM of 761, 465, 629, 341, 874?
Answer: LCM of 761, 465, 629, 341, 874 is 2139894551190.
2. How to calculate the LCM of 761, 465, 629, 341, 874?
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 761, 465, 629, 341, 874.
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}.