Find the LCM of 760, 916, 562, 970, 272 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 760, 916, 562, 970, 272. So, keep reading to learn more.
Given numbers are 760,916,562,970,272
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,916,562,970,272 is 161289481520.
Find LCM of 760,916,562,970,272 with Prime Factorization
2 | 760, 916, 562, 970, 272 |
2 | 380, 458, 281, 485, 136 |
2 | 190, 229, 281, 485, 68 |
5 | 95, 229, 281, 485, 34 |
19, 229, 281, 97, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 19 x 229 x 281 x 97 x 34 = 161289481520
Therefore, the lowest common multiple of 760,916,562,970,272 is 161289481520.
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.
760 x 916 x 562 x 970 x 272 = 103225268172800
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
916 : 1, 2, 4, 229, 458, 916
562 : 1, 2, 281, 562
970 : 1, 2, 5, 10, 97, 194, 485, 970
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,916,562,970,272, is 2.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
916:2x 2x 229
562:2x 281
970:2x 5x 97
272:2x 2x 2x 2x 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 2x 2x 2x 2x 5 = 320
Therefore, the value for common factors is 320.
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 = 103225268172800/(2x320)
LCM = 103225268172800/640
LCM = 161289481520
Thus, we can understand that the LCM of 760,916,562,970,272 is 161289481520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 760, 916, 562, 970, 272?
Answer: LCM of 760, 916, 562, 970, 272 is 161289481520.
2. How to calculate the LCM of 760, 916, 562, 970, 272?
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 760, 916, 562, 970, 272.
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}.