LCM of 594, 749, 153, 459, 904
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 594, 749, 153, 459, 904 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 594, 749, 153, 459, 904. So, keep reading to learn more.
Given numbers are 594,749,153,459,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 594,749,153,459,904 is 3418657704.
Find LCM of 594,749,153,459,904 with Prime Factorization
| 2 | 594, 749, 153, 459, 904 |
| 3 | 297, 749, 153, 459, 452 |
| 3 | 99, 749, 51, 153, 452 |
| 3 | 33, 749, 17, 51, 452 |
| 17 | 11, 749, 17, 17, 452 |
| 11, 749, 1, 1, 452 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 17 x 11 x 749 x 1 x 1 x 452 = 3418657704
Therefore, the lowest common multiple of 594,749,153,459,904 is 3418657704.
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.
594 x 749 x 153 x 459 x 904 = 28244949950448
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.
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
749 : 1, 7, 107, 749
153 : 1, 3, 9, 17, 51, 153
459 : 1, 3, 9, 17, 27, 51, 153, 459
904 : 1, 2, 4, 8, 113, 226, 452, 904
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 594,749,153,459,904, is 1.
Now, the common factors can be found like this.
594:2x 3x 3x 3x 11
749:7x 107
153:3x 3x 17
459:3x 3x 3x 17
904:2x 2x 2x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3x 17 = 8262
Therefore, the value for common factors is 8262.
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 = 28244949950448/(1x8262)
LCM = 28244949950448/8262
LCM = 3418657704
Thus, we can understand that the LCM of 594,749,153,459,904 is 3418657704.
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FAQs on LCM of 594, 749, 153, 459, 904
1. What is the LCM of 594, 749, 153, 459, 904?
Answer: LCM of 594, 749, 153, 459, 904 is 3418657704.
2. How to calculate the LCM of 594, 749, 153, 459, 904?
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 594, 749, 153, 459, 904.
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}.