LCM of 564, 893, 140, 755, 950
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 893, 140, 755, 950 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 564, 893, 140, 755, 950. So, keep reading to learn more.
Given numbers are 564,893,140,755,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,893,140,755,950 is 283170300.
Find LCM of 564,893,140,755,950 with Prime Factorization
| 2 | 564, 893, 140, 755, 950 |
| 2 | 282, 893, 70, 755, 475 |
| 5 | 141, 893, 35, 755, 475 |
| 19 | 141, 893, 7, 151, 95 |
| 47 | 141, 47, 7, 151, 5 |
| 3, 1, 7, 151, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 47 x 3 x 1 x 7 x 151 x 5 = 283170300
Therefore, the lowest common multiple of 564,893,140,755,950 is 283170300.
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.
564 x 893 x 140 x 755 x 950 = 50574215580000
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
893 : 1, 19, 47, 893
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
755 : 1, 5, 151, 755
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,893,140,755,950, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
893:19x 47
140:2x 2x 5x 7
755:5x 151
950:2x 5x 5x 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 5x 19x 47 = 178600
Therefore, the value for common factors is 178600.
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 = 50574215580000/(1x178600)
LCM = 50574215580000/178600
LCM = 283170300
Thus, we can understand that the LCM of 564,893,140,755,950 is 283170300.
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FAQs on LCM of 564, 893, 140, 755, 950
1. What is the LCM of 564, 893, 140, 755, 950?
Answer: LCM of 564, 893, 140, 755, 950 is 283170300.
2. How to calculate the LCM of 564, 893, 140, 755, 950?
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 564, 893, 140, 755, 950.
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}.