Find the LCM of 605, 748, 724, 594, 714 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 605, 748, 724, 594, 714. So, keep reading to learn more.
Given numbers are 605,748,724,594,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,748,724,594,714 is 1407358260.
Find LCM of 605,748,724,594,714 with Prime Factorization
2 | 605, 748, 724, 594, 714 |
2 | 605, 374, 362, 297, 357 |
3 | 605, 187, 181, 297, 357 |
11 | 605, 187, 181, 99, 119 |
17 | 55, 17, 181, 9, 119 |
55, 1, 181, 9, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 55 x 1 x 181 x 9 x 7 = 1407358260
Therefore, the lowest common multiple of 605,748,724,594,714 is 1407358260.
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.
605 x 748 x 724 x 594 x 714 = 138956925159360
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.
605 : 1, 5, 11, 55, 121, 605
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
724 : 1, 2, 4, 181, 362, 724
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,748,724,594,714, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
748:2x 2x 11x 17
724:2x 2x 181
594:2x 3x 3x 3x 11
714:2x 3x 7x 17
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 11x 11x 17 = 98736
Therefore, the value for common factors is 98736.
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 = 138956925159360/(1x98736)
LCM = 138956925159360/98736
LCM = 1407358260
Thus, we can understand that the LCM of 605,748,724,594,714 is 1407358260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 605, 748, 724, 594, 714?
Answer: LCM of 605, 748, 724, 594, 714 is 1407358260.
2. How to calculate the LCM of 605, 748, 724, 594, 714?
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 605, 748, 724, 594, 714.
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}.