LCM of 461, 240, 358, 506, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 461, 240, 358, 506, 832 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 461, 240, 358, 506, 832. So, keep reading to learn more.
Given numbers are 461,240,358,506,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 461,240,358,506,832 is 260548791360.
Find LCM of 461,240,358,506,832 with Prime Factorization
| 2 | 461, 240, 358, 506, 832 |
| 2 | 461, 120, 179, 253, 416 |
| 2 | 461, 60, 179, 253, 208 |
| 2 | 461, 30, 179, 253, 104 |
| 461, 15, 179, 253, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 461 x 15 x 179 x 253 x 52 = 260548791360
Therefore, the lowest common multiple of 461,240,358,506,832 is 260548791360.
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.
461 x 240 x 358 x 506 x 832 = 16675122647040
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.
461 : 1, 461
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
358 : 1, 2, 179, 358
506 : 1, 2, 11, 22, 23, 46, 253, 506
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,240,358,506,832, is 1.
Now, the common factors can be found like this.
461:461
240:2x 2x 2x 2x 3x 5
358:2x 179
506:2x 11x 23
832:2x 2x 2x 2x 2x 2x 13
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 2 = 64
Therefore, the value for common factors is 64.
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 = 16675122647040/(1x64)
LCM = 16675122647040/64
LCM = 260548791360
Thus, we can understand that the LCM of 461,240,358,506,832 is 260548791360.
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FAQs on LCM of 461, 240, 358, 506, 832
1. What is the LCM of 461, 240, 358, 506, 832?
Answer: LCM of 461, 240, 358, 506, 832 is 260548791360.
2. How to calculate the LCM of 461, 240, 358, 506, 832?
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 461, 240, 358, 506, 832.
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}.