LCM of 240, 748, 674, 606, 490
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 748, 674, 606, 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 240, 748, 674, 606, 490. So, keep reading to learn more.
Given numbers are 240,748,674,606,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,748,674,606,490 is 74851447440.
Find LCM of 240,748,674,606,490 with Prime Factorization
| 2 | 240, 748, 674, 606, 490 |
| 2 | 120, 374, 337, 303, 245 |
| 3 | 60, 187, 337, 303, 245 |
| 5 | 20, 187, 337, 101, 245 |
| 4, 187, 337, 101, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 4 x 187 x 337 x 101 x 49 = 74851447440
Therefore, the lowest common multiple of 240,748,674,606,490 is 74851447440.
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.
240 x 748 x 674 x 606 x 490 = 35928694771200
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
674 : 1, 2, 337, 674
606 : 1, 2, 3, 6, 101, 202, 303, 606
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,748,674,606,490, is 2.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
748:2x 2x 11x 17
674:2x 337
606:2x 3x 101
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 2x 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 35928694771200/(2x240)
LCM = 35928694771200/480
LCM = 74851447440
Thus, we can understand that the LCM of 240,748,674,606,490 is 74851447440.
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FAQs on LCM of 240, 748, 674, 606, 490
1. What is the LCM of 240, 748, 674, 606, 490?
Answer: LCM of 240, 748, 674, 606, 490 is 74851447440.
2. How to calculate the LCM of 240, 748, 674, 606, 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 240, 748, 674, 606, 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}.