LCM of 602, 978, 448, 113
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 602, 978, 448, 113 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 602, 978, 448, 113. So, keep reading to learn more.
Given numbers are 602,978,448,113
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 602,978,448,113 is 1064470848.
Find LCM of 602,978,448,113 with Prime Factorization
| 2 | 602, 978, 448, 113 |
| 7 | 301, 489, 224, 113 |
| 43, 489, 32, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 43 x 489 x 32 x 113 = 1064470848
Therefore, the lowest common multiple of 602,978,448,113 is 1064470848.
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.
602 x 978 x 448 x 113 = 29805183744
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.
602 : 1, 2, 7, 14, 43, 86, 301, 602
978 : 1, 2, 3, 6, 163, 326, 489, 978
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
113 : 1, 113
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 602,978,448,113, is 1.
Now, the common factors can be found like this.
602:2x 7x 43
978:2x 3x 163
448:2x 2x 2x 2x 2x 2x 7
113:113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 7 = 28
Therefore, the value for common factors is 28.
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 = 29805183744/(1x28)
LCM = 29805183744/28
LCM = 1064470848
Thus, we can understand that the LCM of 602,978,448,113 is 1064470848.
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FAQs on LCM of 602, 978, 448, 113
1. What is the LCM of 602, 978, 448, 113?
Answer: LCM of 602, 978, 448, 113 is 1064470848.
2. How to calculate the LCM of 602, 978, 448, 113?
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 602, 978, 448, 113.
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}.