LCM of 708, 649, 267, 534
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 708, 649, 267, 534 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 708, 649, 267, 534. So, keep reading to learn more.
Given numbers are 708,649,267,534
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 708,649,267,534 is 693132.
Find LCM of 708,649,267,534 with Prime Factorization
| 2 | 708, 649, 267, 534 |
| 3 | 354, 649, 267, 267 |
| 59 | 118, 649, 89, 89 |
| 89 | 2, 11, 89, 89 |
| 2, 11, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 59 x 89 x 2 x 11 x 1 x 1 = 693132
Therefore, the lowest common multiple of 708,649,267,534 is 693132.
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.
708 x 649 x 267 x 534 = 65513450376
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.
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
649 : 1, 11, 59, 649
267 : 1, 3, 89, 267
534 : 1, 2, 3, 6, 89, 178, 267, 534
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,649,267,534, is 1.
Now, the common factors can be found like this.
708:2x 2x 3x 59
649:11x 59
267:3x 89
534:2x 3x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 59x 89 = 94518
Therefore, the value for common factors is 94518.
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 = 65513450376/(1x94518)
LCM = 65513450376/94518
LCM = 693132
Thus, we can understand that the LCM of 708,649,267,534 is 693132.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 708, 649, 267, 534
1. What is the LCM of 708, 649, 267, 534?
Answer: LCM of 708, 649, 267, 534 is 693132.
2. How to calculate the LCM of 708, 649, 267, 534?
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 708, 649, 267, 534.
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}.