Find the LCM of 728, 502, 549, 674, 642 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 728, 502, 549, 674, 642. So, keep reading to learn more.
Given numbers are 728,502,549,674,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 728,502,549,674,642 is 3617354934648.
Find LCM of 728,502,549,674,642 with Prime Factorization
2 | 728, 502, 549, 674, 642 |
3 | 364, 251, 549, 337, 321 |
364, 251, 183, 337, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 364 x 251 x 183 x 337 x 107 = 3617354934648
Therefore, the lowest common multiple of 728,502,549,674,642 is 3617354934648.
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.
728 x 502 x 549 x 674 x 642 = 86816518431552
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.
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
502 : 1, 2, 251, 502
549 : 1, 3, 9, 61, 183, 549
674 : 1, 2, 337, 674
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,502,549,674,642, is 1.
Now, the common factors can be found like this.
728:2x 2x 2x 7x 13
502:2x 251
549:3x 3x 61
674:2x 337
642:2x 3x 107
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 3 = 24
Therefore, the value for common factors is 24.
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 = 86816518431552/(1x24)
LCM = 86816518431552/24
LCM = 3617354934648
Thus, we can understand that the LCM of 728,502,549,674,642 is 3617354934648.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 728, 502, 549, 674, 642?
Answer: LCM of 728, 502, 549, 674, 642 is 3617354934648.
2. How to calculate the LCM of 728, 502, 549, 674, 642?
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 728, 502, 549, 674, 642.
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}.