LCM of 766, 899, 570, 699, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 766, 899, 570, 699, 931 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 766, 899, 570, 699, 931. So, keep reading to learn more.
Given numbers are 766,899,570,699,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 766,899,570,699,931 is 2240708297730.
Find LCM of 766,899,570,699,931 with Prime Factorization
| 2 | 766, 899, 570, 699, 931 |
| 3 | 383, 899, 285, 699, 931 |
| 19 | 383, 899, 95, 233, 931 |
| 383, 899, 5, 233, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 383 x 899 x 5 x 233 x 49 = 2240708297730
Therefore, the lowest common multiple of 766,899,570,699,931 is 2240708297730.
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.
766 x 899 x 570 x 699 x 931 = 255440745941220
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.
766 : 1, 2, 383, 766
899 : 1, 29, 31, 899
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
699 : 1, 3, 233, 699
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,899,570,699,931, is 1.
Now, the common factors can be found like this.
766:2x 383
899:29x 31
570:2x 3x 5x 19
699:3x 233
931:7x 7x 19
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 19 = 114
Therefore, the value for common factors is 114.
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 = 255440745941220/(1x114)
LCM = 255440745941220/114
LCM = 2240708297730
Thus, we can understand that the LCM of 766,899,570,699,931 is 2240708297730.
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FAQs on LCM of 766, 899, 570, 699, 931
1. What is the LCM of 766, 899, 570, 699, 931?
Answer: LCM of 766, 899, 570, 699, 931 is 2240708297730.
2. How to calculate the LCM of 766, 899, 570, 699, 931?
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 766, 899, 570, 699, 931.
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}.