LCM of 367, 506, 140, 408, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 367, 506, 140, 408, 748 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 367, 506, 140, 408, 748. So, keep reading to learn more.
Given numbers are 367,506,140,408,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,506,140,408,748 is 1325912280.
Find LCM of 367,506,140,408,748 with Prime Factorization
| 2 | 367, 506, 140, 408, 748 |
| 2 | 367, 253, 70, 204, 374 |
| 11 | 367, 253, 35, 102, 187 |
| 17 | 367, 23, 35, 102, 17 |
| 367, 23, 35, 6, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 367 x 23 x 35 x 6 x 1 = 1325912280
Therefore, the lowest common multiple of 367,506,140,408,748 is 1325912280.
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.
367 x 506 x 140 x 408 x 748 = 7934259083520
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.
367 : 1, 367
506 : 1, 2, 11, 22, 23, 46, 253, 506
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,506,140,408,748, is 1.
Now, the common factors can be found like this.
367:367
506:2x 11x 23
140:2x 2x 5x 7
408:2x 2x 2x 3x 17
748:2x 2x 11x 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 2x 11x 17 = 5984
Therefore, the value for common factors is 5984.
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 = 7934259083520/(1x5984)
LCM = 7934259083520/5984
LCM = 1325912280
Thus, we can understand that the LCM of 367,506,140,408,748 is 1325912280.
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FAQs on LCM of 367, 506, 140, 408, 748
1. What is the LCM of 367, 506, 140, 408, 748?
Answer: LCM of 367, 506, 140, 408, 748 is 1325912280.
2. How to calculate the LCM of 367, 506, 140, 408, 748?
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 367, 506, 140, 408, 748.
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}.