LCM of 493, 893, 824, 549, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 893, 824, 549, 760 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 493, 893, 824, 549, 760. So, keep reading to learn more.
Given numbers are 493,893,824,549,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,893,824,549,760 is 995790408120.
Find LCM of 493,893,824,549,760 with Prime Factorization
| 2 | 493, 893, 824, 549, 760 |
| 2 | 493, 893, 412, 549, 380 |
| 2 | 493, 893, 206, 549, 190 |
| 19 | 493, 893, 103, 549, 95 |
| 493, 47, 103, 549, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 493 x 47 x 103 x 549 x 5 = 995790408120
Therefore, the lowest common multiple of 493,893,824,549,760 is 995790408120.
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.
493 x 893 x 824 x 549 x 760 = 151360142034240
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.
493 : 1, 17, 29, 493
893 : 1, 19, 47, 893
824 : 1, 2, 4, 8, 103, 206, 412, 824
549 : 1, 3, 9, 61, 183, 549
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,893,824,549,760, is 1.
Now, the common factors can be found like this.
493:17x 29
893:19x 47
824:2x 2x 2x 103
549:3x 3x 61
760:2x 2x 2x 5x 19
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 19 = 152
Therefore, the value for common factors is 152.
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 = 151360142034240/(1x152)
LCM = 151360142034240/152
LCM = 995790408120
Thus, we can understand that the LCM of 493,893,824,549,760 is 995790408120.
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FAQs on LCM of 493, 893, 824, 549, 760
1. What is the LCM of 493, 893, 824, 549, 760?
Answer: LCM of 493, 893, 824, 549, 760 is 995790408120.
2. How to calculate the LCM of 493, 893, 824, 549, 760?
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 493, 893, 824, 549, 760.
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}.