LCM of 860, 429, 620, 722, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 860, 429, 620, 722, 957 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 860, 429, 620, 722, 957. So, keep reading to learn more.
Given numbers are 860,429,620,722,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 860,429,620,722,957 is 119735418660.
Find LCM of 860,429,620,722,957 with Prime Factorization
| 2 | 860, 429, 620, 722, 957 |
| 2 | 430, 429, 310, 361, 957 |
| 3 | 215, 429, 155, 361, 957 |
| 5 | 215, 143, 155, 361, 319 |
| 11 | 43, 143, 31, 361, 319 |
| 43, 13, 31, 361, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 43 x 13 x 31 x 361 x 29 = 119735418660
Therefore, the lowest common multiple of 860,429,620,722,957 is 119735418660.
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.
860 x 429 x 620 x 722 x 957 = 158050752631200
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.
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
429 : 1, 3, 11, 13, 33, 39, 143, 429
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
722 : 1, 2, 19, 38, 361, 722
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,429,620,722,957, is 1.
Now, the common factors can be found like this.
860:2x 2x 5x 43
429:3x 11x 13
620:2x 2x 5x 31
722:2x 19x 19
957:3x 11x 29
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 3x 5x 11 = 1320
Therefore, the value for common factors is 1320.
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 = 158050752631200/(1x1320)
LCM = 158050752631200/1320
LCM = 119735418660
Thus, we can understand that the LCM of 860,429,620,722,957 is 119735418660.
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FAQs on LCM of 860, 429, 620, 722, 957
1. What is the LCM of 860, 429, 620, 722, 957?
Answer: LCM of 860, 429, 620, 722, 957 is 119735418660.
2. How to calculate the LCM of 860, 429, 620, 722, 957?
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 860, 429, 620, 722, 957.
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}.