LCM of 821, 316, 398, 368, 534
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 821, 316, 398, 368, 534 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 821, 316, 398, 368, 534. So, keep reading to learn more.
Given numbers are 821,316,398,368,534
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,316,398,368,534 is 1268184394896.
Find LCM of 821,316,398,368,534 with Prime Factorization
| 2 | 821, 316, 398, 368, 534 |
| 2 | 821, 158, 199, 184, 267 |
| 821, 79, 199, 92, 267 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 821 x 79 x 199 x 92 x 267 = 1268184394896
Therefore, the lowest common multiple of 821,316,398,368,534 is 1268184394896.
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.
821 x 316 x 398 x 368 x 534 = 20290950318336
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.
821 : 1, 821
316 : 1, 2, 4, 79, 158, 316
398 : 1, 2, 199, 398
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
534 : 1, 2, 3, 6, 89, 178, 267, 534
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,316,398,368,534, is 1.
Now, the common factors can be found like this.
821:821
316:2x 2x 79
398:2x 199
368:2x 2x 2x 2x 23
534:2x 3x 89
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 = 20290950318336/(1x16)
LCM = 20290950318336/16
LCM = 1268184394896
Thus, we can understand that the LCM of 821,316,398,368,534 is 1268184394896.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 821, 316, 398, 368, 534
1. What is the LCM of 821, 316, 398, 368, 534?
Answer: LCM of 821, 316, 398, 368, 534 is 1268184394896.
2. How to calculate the LCM of 821, 316, 398, 368, 534?
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 821, 316, 398, 368, 534.
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}.