LCM of 619, 972, 264, 490, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 619, 972, 264, 490, 742 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 619, 972, 264, 490, 742. So, keep reading to learn more.
Given numbers are 619,972,264,490,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 619,972,264,490,742 is 171878497560.
Find LCM of 619,972,264,490,742 with Prime Factorization
| 2 | 619, 972, 264, 490, 742 |
| 2 | 619, 486, 132, 245, 371 |
| 3 | 619, 243, 66, 245, 371 |
| 7 | 619, 81, 22, 245, 371 |
| 619, 81, 22, 35, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 619 x 81 x 22 x 35 x 53 = 171878497560
Therefore, the lowest common multiple of 619,972,264,490,742 is 171878497560.
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.
619 x 972 x 264 x 490 x 742 = 57751175180160
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.
619 : 1, 619
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 619,972,264,490,742, is 1.
Now, the common factors can be found like this.
619:619
972:2x 2x 3x 3x 3x 3x 3
264:2x 2x 2x 3x 11
490:2x 5x 7x 7
742:2x 7x 53
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 7 = 336
Therefore, the value for common factors is 336.
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 = 57751175180160/(1x336)
LCM = 57751175180160/336
LCM = 171878497560
Thus, we can understand that the LCM of 619,972,264,490,742 is 171878497560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 619, 972, 264, 490, 742
1. What is the LCM of 619, 972, 264, 490, 742?
Answer: LCM of 619, 972, 264, 490, 742 is 171878497560.
2. How to calculate the LCM of 619, 972, 264, 490, 742?
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 619, 972, 264, 490, 742.
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}.