LCM of 748, 658, 697, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 658, 697, 492 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 748, 658, 697, 492. So, keep reading to learn more.
Given numbers are 748,658,697,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,658,697,492 is 30269316.
Find LCM of 748,658,697,492 with Prime Factorization
| 2 | 748, 658, 697, 492 |
| 2 | 374, 329, 697, 246 |
| 17 | 187, 329, 697, 123 |
| 41 | 11, 329, 41, 123 |
| 11, 329, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 41 x 11 x 329 x 1 x 3 = 30269316
Therefore, the lowest common multiple of 748,658,697,492 is 30269316.
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.
748 x 658 x 697 x 492 = 168781706016
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
658 : 1, 2, 7, 14, 47, 94, 329, 658
697 : 1, 17, 41, 697
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,658,697,492, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
658:2x 7x 47
697:17x 41
492:2x 2x 3x 41
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 17x 41 = 5576
Therefore, the value for common factors is 5576.
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 = 168781706016/(1x5576)
LCM = 168781706016/5576
LCM = 30269316
Thus, we can understand that the LCM of 748,658,697,492 is 30269316.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 748, 658, 697, 492
1. What is the LCM of 748, 658, 697, 492?
Answer: LCM of 748, 658, 697, 492 is 30269316.
2. How to calculate the LCM of 748, 658, 697, 492?
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 748, 658, 697, 492.
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}.