LCM of 598, 414, 820, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 414, 820, 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, 414, 820, 978. So, keep reading to learn more.
Given numbers are 598,414,820,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,414,820,978 is 359679060.
Find LCM of 598,414,820,978 with Prime Factorization
| 2 | 598, 414, 820, 978 |
| 3 | 299, 207, 410, 489 |
| 23 | 299, 69, 410, 163 |
| 13, 3, 410, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 13 x 3 x 410 x 163 = 359679060
Therefore, the lowest common multiple of 598,414,820,978 is 359679060.
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 414 x 820 x 978 = 198542841120
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
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
978 : 1, 2, 3, 6, 163, 326, 489, 978
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,414,820,978, is 2.
Now, the common factors can be found like this.
598:2x 13x 23
414:2x 3x 3x 23
820:2x 2x 5x 41
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 23 = 276
Therefore, the value for common factors is 276.
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 = 198542841120/(2x276)
LCM = 198542841120/552
LCM = 359679060
Thus, we can understand that the LCM of 598,414,820,978 is 359679060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 598, 414, 820, 978
1. What is the LCM of 598, 414, 820, 978?
Answer: LCM of 598, 414, 820, 978 is 359679060.
2. How to calculate the LCM of 598, 414, 820, 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, 414, 820, 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}.