LCM of 368, 974, 892, 653, 490
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 974, 892, 653, 490 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 368, 974, 892, 653, 490. So, keep reading to learn more.
Given numbers are 368,974,892,653,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,974,892,653,490 is 6393827402480.
Find LCM of 368,974,892,653,490 with Prime Factorization
| 2 | 368, 974, 892, 653, 490 |
| 2 | 184, 487, 446, 653, 245 |
| 92, 487, 223, 653, 245 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 92 x 487 x 223 x 653 x 245 = 6393827402480
Therefore, the lowest common multiple of 368,974,892,653,490 is 6393827402480.
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.
368 x 974 x 892 x 653 x 490 = 102301238439680
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
974 : 1, 2, 487, 974
892 : 1, 2, 4, 223, 446, 892
653 : 1, 653
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,974,892,653,490, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
974:2x 487
892:2x 2x 223
653:653
490:2x 5x 7x 7
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 2 = 16
Therefore, the value for common factors is 16.
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 = 102301238439680/(1x16)
LCM = 102301238439680/16
LCM = 6393827402480
Thus, we can understand that the LCM of 368,974,892,653,490 is 6393827402480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 368, 974, 892, 653, 490
1. What is the LCM of 368, 974, 892, 653, 490?
Answer: LCM of 368, 974, 892, 653, 490 is 6393827402480.
2. How to calculate the LCM of 368, 974, 892, 653, 490?
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 368, 974, 892, 653, 490.
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}.