LCM of 705, 233, 552, 920, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 233, 552, 920, 942 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 705, 233, 552, 920, 942. So, keep reading to learn more.
Given numbers are 705,233,552,920,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,233,552,920,942 is 4745287320.
Find LCM of 705,233,552,920,942 with Prime Factorization
| 2 | 705, 233, 552, 920, 942 |
| 2 | 705, 233, 276, 460, 471 |
| 2 | 705, 233, 138, 230, 471 |
| 3 | 705, 233, 69, 115, 471 |
| 5 | 235, 233, 23, 115, 157 |
| 23 | 47, 233, 23, 23, 157 |
| 47, 233, 1, 1, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 23 x 47 x 233 x 1 x 1 x 157 = 4745287320
Therefore, the lowest common multiple of 705,233,552,920,942 is 4745287320.
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.
705 x 233 x 552 x 920 x 942 = 78581958019200
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
233 : 1, 233
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,233,552,920,942, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
233:233
552:2x 2x 2x 3x 23
920:2x 2x 2x 5x 23
942:2x 3x 157
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 2x 3x 3x 5x 23 = 16560
Therefore, the value for common factors is 16560.
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 = 78581958019200/(1x16560)
LCM = 78581958019200/16560
LCM = 4745287320
Thus, we can understand that the LCM of 705,233,552,920,942 is 4745287320.
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FAQs on LCM of 705, 233, 552, 920, 942
1. What is the LCM of 705, 233, 552, 920, 942?
Answer: LCM of 705, 233, 552, 920, 942 is 4745287320.
2. How to calculate the LCM of 705, 233, 552, 920, 942?
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 705, 233, 552, 920, 942.
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}.