LCM of 479, 460, 736, 210, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 479, 460, 736, 210, 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 479, 460, 736, 210, 931. So, keep reading to learn more.
Given numbers are 479,460,736,210,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,460,736,210,931 is 4923276960.
Find LCM of 479,460,736,210,931 with Prime Factorization
| 2 | 479, 460, 736, 210, 931 |
| 2 | 479, 230, 368, 105, 931 |
| 5 | 479, 115, 184, 105, 931 |
| 7 | 479, 23, 184, 21, 931 |
| 23 | 479, 23, 184, 3, 133 |
| 479, 1, 8, 3, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 23 x 479 x 1 x 8 x 3 x 133 = 4923276960
Therefore, the lowest common multiple of 479,460,736,210,931 is 4923276960.
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.
479 x 460 x 736 x 210 x 931 = 31705903622400
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.
479 : 1, 479
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
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 479,460,736,210,931, is 1.
Now, the common factors can be found like this.
479:479
460:2x 2x 5x 23
736:2x 2x 2x 2x 2x 23
210:2x 3x 5x 7
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 2x 2x 5x 7x 23 = 6440
Therefore, the value for common factors is 6440.
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 = 31705903622400/(1x6440)
LCM = 31705903622400/6440
LCM = 4923276960
Thus, we can understand that the LCM of 479,460,736,210,931 is 4923276960.
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FAQs on LCM of 479, 460, 736, 210, 931
1. What is the LCM of 479, 460, 736, 210, 931?
Answer: LCM of 479, 460, 736, 210, 931 is 4923276960.
2. How to calculate the LCM of 479, 460, 736, 210, 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 479, 460, 736, 210, 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}.