LCM of 837, 528, 594, 528, 229
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 837, 528, 594, 528, 229 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 837, 528, 594, 528, 229. So, keep reading to learn more.
Given numbers are 837,528,594,528,229
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 837,528,594,528,229 is 33734448.
Find LCM of 837,528,594,528,229 with Prime Factorization
| 2 | 837, 528, 594, 528, 229 |
| 2 | 837, 264, 297, 264, 229 |
| 2 | 837, 132, 297, 132, 229 |
| 2 | 837, 66, 297, 66, 229 |
| 3 | 837, 33, 297, 33, 229 |
| 3 | 279, 11, 99, 11, 229 |
| 3 | 93, 11, 33, 11, 229 |
| 11 | 31, 11, 11, 11, 229 |
| 31, 1, 1, 1, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 31 x 1 x 1 x 1 x 229 = 33734448
Therefore, the lowest common multiple of 837,528,594,528,229 is 33734448.
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.
837 x 528 x 594 x 528 x 229 = 31740607185408
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.
837 : 1, 3, 9, 27, 31, 93, 279, 837
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
229 : 1, 229
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 837,528,594,528,229, is 1.
Now, the common factors can be found like this.
837:3x 3x 3x 31
528:2x 2x 2x 2x 3x 11
594:2x 3x 3x 3x 11
528:2x 2x 2x 2x 3x 11
229:229
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 3x 3x 3x 3x 11x 11 = 940896
Therefore, the value for common factors is 940896.
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 = 31740607185408/(1x940896)
LCM = 31740607185408/940896
LCM = 33734448
Thus, we can understand that the LCM of 837,528,594,528,229 is 33734448.
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FAQs on LCM of 837, 528, 594, 528, 229
1. What is the LCM of 837, 528, 594, 528, 229?
Answer: LCM of 837, 528, 594, 528, 229 is 33734448.
2. How to calculate the LCM of 837, 528, 594, 528, 229?
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 837, 528, 594, 528, 229.
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}.