LCM of 220, 907, 696, 319, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 907, 696, 319, 738 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 220, 907, 696, 319, 738. So, keep reading to learn more.
Given numbers are 220,907,696,319,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,907,696,319,738 is 4270555080.
Find LCM of 220,907,696,319,738 with Prime Factorization
| 2 | 220, 907, 696, 319, 738 |
| 2 | 110, 907, 348, 319, 369 |
| 3 | 55, 907, 174, 319, 369 |
| 11 | 55, 907, 58, 319, 123 |
| 29 | 5, 907, 58, 29, 123 |
| 5, 907, 2, 1, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 29 x 5 x 907 x 2 x 1 x 123 = 4270555080
Therefore, the lowest common multiple of 220,907,696,319,738 is 4270555080.
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.
220 x 907 x 696 x 319 x 738 = 32695369692480
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
907 : 1, 907
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
319 : 1, 11, 29, 319
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,907,696,319,738, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
907:907
696:2x 2x 2x 3x 29
319:11x 29
738:2x 3x 3x 41
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 11x 29 = 7656
Therefore, the value for common factors is 7656.
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 = 32695369692480/(1x7656)
LCM = 32695369692480/7656
LCM = 4270555080
Thus, we can understand that the LCM of 220,907,696,319,738 is 4270555080.
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FAQs on LCM of 220, 907, 696, 319, 738
1. What is the LCM of 220, 907, 696, 319, 738?
Answer: LCM of 220, 907, 696, 319, 738 is 4270555080.
2. How to calculate the LCM of 220, 907, 696, 319, 738?
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 220, 907, 696, 319, 738.
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}.