LCM of 598, 915, 117, 812, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 915, 117, 812, 978 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 598, 915, 117, 812, 978. So, keep reading to learn more.
Given numbers are 598,915,117,812,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,915,117,812,978 is 108631848780.
Find LCM of 598,915,117,812,978 with Prime Factorization
| 2 | 598, 915, 117, 812, 978 |
| 3 | 299, 915, 117, 406, 489 |
| 13 | 299, 305, 39, 406, 163 |
| 23, 305, 3, 406, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 305 x 3 x 406 x 163 = 108631848780
Therefore, the lowest common multiple of 598,915,117,812,978 is 108631848780.
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.
598 x 915 x 117 x 812 x 978 = 50839705229040
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
915 : 1, 3, 5, 15, 61, 183, 305, 915
117 : 1, 3, 9, 13, 39, 117
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,915,117,812,978, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
915:3x 5x 61
117:3x 3x 13
812:2x 2x 7x 29
978:2x 3x 163
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 13 = 468
Therefore, the value for common factors is 468.
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 = 50839705229040/(1x468)
LCM = 50839705229040/468
LCM = 108631848780
Thus, we can understand that the LCM of 598,915,117,812,978 is 108631848780.
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FAQs on LCM of 598, 915, 117, 812, 978
1. What is the LCM of 598, 915, 117, 812, 978?
Answer: LCM of 598, 915, 117, 812, 978 is 108631848780.
2. How to calculate the LCM of 598, 915, 117, 812, 978?
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 598, 915, 117, 812, 978.
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}.