LCM of 315, 668, 189, 312, 572
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 668, 189, 312, 572 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 315, 668, 189, 312, 572. So, keep reading to learn more.
Given numbers are 315,668,189,312,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,668,189,312,572 is 180540360.
Find LCM of 315,668,189,312,572 with Prime Factorization
| 2 | 315, 668, 189, 312, 572 |
| 2 | 315, 334, 189, 156, 286 |
| 3 | 315, 167, 189, 78, 143 |
| 3 | 105, 167, 63, 26, 143 |
| 7 | 35, 167, 21, 26, 143 |
| 13 | 5, 167, 3, 26, 143 |
| 5, 167, 3, 2, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 13 x 5 x 167 x 3 x 2 x 11 = 180540360
Therefore, the lowest common multiple of 315,668,189,312,572 is 180540360.
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.
315 x 668 x 189 x 312 x 572 = 7097402632320
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
668 : 1, 2, 4, 167, 334, 668
189 : 1, 3, 7, 9, 21, 27, 63, 189
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,668,189,312,572, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
668:2x 2x 167
189:3x 3x 3x 7
312:2x 2x 2x 3x 13
572:2x 2x 11x 13
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 3x 7x 13 = 39312
Therefore, the value for common factors is 39312.
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 = 7097402632320/(1x39312)
LCM = 7097402632320/39312
LCM = 180540360
Thus, we can understand that the LCM of 315,668,189,312,572 is 180540360.
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FAQs on LCM of 315, 668, 189, 312, 572
1. What is the LCM of 315, 668, 189, 312, 572?
Answer: LCM of 315, 668, 189, 312, 572 is 180540360.
2. How to calculate the LCM of 315, 668, 189, 312, 572?
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 315, 668, 189, 312, 572.
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}.