LCM of 368, 506, 140, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 506, 140, 968 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, 506, 140, 968. So, keep reading to learn more.
Given numbers are 368,506,140,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,506,140,968 is 1558480.
Find LCM of 368,506,140,968 with Prime Factorization
| 2 | 368, 506, 140, 968 |
| 2 | 184, 253, 70, 484 |
| 2 | 92, 253, 35, 242 |
| 11 | 46, 253, 35, 121 |
| 23 | 46, 23, 35, 11 |
| 2, 1, 35, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 23 x 2 x 1 x 35 x 11 = 1558480
Therefore, the lowest common multiple of 368,506,140,968 is 1558480.
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 506 x 140 x 968 = 25234908160
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
506 : 1, 2, 11, 22, 23, 46, 253, 506
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,506,140,968, is 2.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
506:2x 11x 23
140:2x 2x 5x 7
968:2x 2x 2x 11x 11
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 23 = 8096
Therefore, the value for common factors is 8096.
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 = 25234908160/(2x8096)
LCM = 25234908160/16192
LCM = 1558480
Thus, we can understand that the LCM of 368,506,140,968 is 1558480.
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FAQs on LCM of 368, 506, 140, 968
1. What is the LCM of 368, 506, 140, 968?
Answer: LCM of 368, 506, 140, 968 is 1558480.
2. How to calculate the LCM of 368, 506, 140, 968?
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, 506, 140, 968.
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}.