LCM of 700, 273, 794, 767, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 700, 273, 794, 767, 921 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 700, 273, 794, 767, 921. So, keep reading to learn more.
Given numbers are 700,273,794,767,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 700,273,794,767,921 is 196310505300.
Find LCM of 700,273,794,767,921 with Prime Factorization
| 2 | 700, 273, 794, 767, 921 |
| 3 | 350, 273, 397, 767, 921 |
| 7 | 350, 91, 397, 767, 307 |
| 13 | 50, 13, 397, 767, 307 |
| 50, 1, 397, 59, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 50 x 1 x 397 x 59 x 307 = 196310505300
Therefore, the lowest common multiple of 700,273,794,767,921 is 196310505300.
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.
700 x 273 x 794 x 767 x 921 = 107185535893800
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.
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
273 : 1, 3, 7, 13, 21, 39, 91, 273
794 : 1, 2, 397, 794
767 : 1, 13, 59, 767
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,273,794,767,921, is 1.
Now, the common factors can be found like this.
700:2x 2x 5x 5x 7
273:3x 7x 13
794:2x 397
767:13x 59
921:3x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 13 = 546
Therefore, the value for common factors is 546.
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 = 107185535893800/(1x546)
LCM = 107185535893800/546
LCM = 196310505300
Thus, we can understand that the LCM of 700,273,794,767,921 is 196310505300.
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FAQs on LCM of 700, 273, 794, 767, 921
1. What is the LCM of 700, 273, 794, 767, 921?
Answer: LCM of 700, 273, 794, 767, 921 is 196310505300.
2. How to calculate the LCM of 700, 273, 794, 767, 921?
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 700, 273, 794, 767, 921.
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}.