LCM of 600, 537, 354, 295, 994
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 600, 537, 354, 295, 994 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 600, 537, 354, 295, 994. So, keep reading to learn more.
Given numbers are 600,537,354,295,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 600,537,354,295,994 is 3149290200.
Find LCM of 600,537,354,295,994 with Prime Factorization
| 2 | 600, 537, 354, 295, 994 |
| 3 | 300, 537, 177, 295, 497 |
| 5 | 100, 179, 59, 295, 497 |
| 59 | 20, 179, 59, 59, 497 |
| 20, 179, 1, 1, 497 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 59 x 20 x 179 x 1 x 1 x 497 = 3149290200
Therefore, the lowest common multiple of 600,537,354,295,994 is 3149290200.
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.
600 x 537 x 354 x 295 x 994 = 33445461924000
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.
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
537 : 1, 3, 179, 537
354 : 1, 2, 3, 6, 59, 118, 177, 354
295 : 1, 5, 59, 295
994 : 1, 2, 7, 14, 71, 142, 497, 994
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 600,537,354,295,994, is 1.
Now, the common factors can be found like this.
600:2x 2x 2x 3x 5x 5
537:3x 179
354:2x 3x 59
295:5x 59
994:2x 7x 71
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 3x 3x 5x 59 = 10620
Therefore, the value for common factors is 10620.
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 = 33445461924000/(1x10620)
LCM = 33445461924000/10620
LCM = 3149290200
Thus, we can understand that the LCM of 600,537,354,295,994 is 3149290200.
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FAQs on LCM of 600, 537, 354, 295, 994
1. What is the LCM of 600, 537, 354, 295, 994?
Answer: LCM of 600, 537, 354, 295, 994 is 3149290200.
2. How to calculate the LCM of 600, 537, 354, 295, 994?
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 600, 537, 354, 295, 994.
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}.