LCM of 362, 632, 196, 237, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 632, 196, 237, 564 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 362, 632, 196, 237, 564. So, keep reading to learn more.
Given numbers are 362,632,196,237,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,632,196,237,564 is 790334328.
Find LCM of 362,632,196,237,564 with Prime Factorization
| 2 | 362, 632, 196, 237, 564 |
| 2 | 181, 316, 98, 237, 282 |
| 3 | 181, 158, 49, 237, 141 |
| 79 | 181, 158, 49, 79, 47 |
| 181, 2, 49, 1, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 79 x 181 x 2 x 49 x 1 x 47 = 790334328
Therefore, the lowest common multiple of 362,632,196,237,564 is 790334328.
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.
362 x 632 x 196 x 237 x 564 = 5993895543552
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.
362 : 1, 2, 181, 362
632 : 1, 2, 4, 8, 79, 158, 316, 632
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
237 : 1, 3, 79, 237
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,632,196,237,564, is 1.
Now, the common factors can be found like this.
362:2x 181
632:2x 2x 2x 79
196:2x 2x 7x 7
237:3x 79
564:2x 2x 3x 47
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 3x 79 = 7584
Therefore, the value for common factors is 7584.
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 = 5993895543552/(1x7584)
LCM = 5993895543552/7584
LCM = 790334328
Thus, we can understand that the LCM of 362,632,196,237,564 is 790334328.
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FAQs on LCM of 362, 632, 196, 237, 564
1. What is the LCM of 362, 632, 196, 237, 564?
Answer: LCM of 362, 632, 196, 237, 564 is 790334328.
2. How to calculate the LCM of 362, 632, 196, 237, 564?
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 362, 632, 196, 237, 564.
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}.