LCM of 514, 632, 220, 670
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 632, 220, 670 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 514, 632, 220, 670. So, keep reading to learn more.
Given numbers are 514,632,220,670
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,632,220,670 is 598532440.
Find LCM of 514,632,220,670 with Prime Factorization
| 2 | 514, 632, 220, 670 |
| 2 | 257, 316, 110, 335 |
| 5 | 257, 158, 55, 335 |
| 257, 158, 11, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 257 x 158 x 11 x 67 = 598532440
Therefore, the lowest common multiple of 514,632,220,670 is 598532440.
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.
514 x 632 x 220 x 670 = 47882595200
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.
514 : 1, 2, 257, 514
632 : 1, 2, 4, 8, 79, 158, 316, 632
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
670 : 1, 2, 5, 10, 67, 134, 335, 670
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,632,220,670, is 2.
Now, the common factors can be found like this.
514:2x 257
632:2x 2x 2x 79
220:2x 2x 5x 11
670:2x 5x 67
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 5 = 40
Therefore, the value for common factors is 40.
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 = 47882595200/(2x40)
LCM = 47882595200/80
LCM = 598532440
Thus, we can understand that the LCM of 514,632,220,670 is 598532440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 514, 632, 220, 670
1. What is the LCM of 514, 632, 220, 670?
Answer: LCM of 514, 632, 220, 670 is 598532440.
2. How to calculate the LCM of 514, 632, 220, 670?
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 514, 632, 220, 670.
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}.