LCM of 607, 884, 357, 978, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 607, 884, 357, 978, 690 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 607, 884, 357, 978, 690. So, keep reading to learn more.
Given numbers are 607,884,357,978,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 607,884,357,978,690 is 211225183260.
Find LCM of 607,884,357,978,690 with Prime Factorization
| 2 | 607, 884, 357, 978, 690 |
| 3 | 607, 442, 357, 489, 345 |
| 17 | 607, 442, 119, 163, 115 |
| 607, 26, 7, 163, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 607 x 26 x 7 x 163 x 115 = 211225183260
Therefore, the lowest common multiple of 607,884,357,978,690 is 211225183260.
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.
607 x 884 x 357 x 978 x 690 = 129269812155120
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.
607 : 1, 607
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
357 : 1, 3, 7, 17, 21, 51, 119, 357
978 : 1, 2, 3, 6, 163, 326, 489, 978
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,884,357,978,690, is 1.
Now, the common factors can be found like this.
607:607
884:2x 2x 13x 17
357:3x 7x 17
978:2x 3x 163
690:2x 3x 5x 23
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 17 = 612
Therefore, the value for common factors is 612.
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 = 129269812155120/(1x612)
LCM = 129269812155120/612
LCM = 211225183260
Thus, we can understand that the LCM of 607,884,357,978,690 is 211225183260.
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FAQs on LCM of 607, 884, 357, 978, 690
1. What is the LCM of 607, 884, 357, 978, 690?
Answer: LCM of 607, 884, 357, 978, 690 is 211225183260.
2. How to calculate the LCM of 607, 884, 357, 978, 690?
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 607, 884, 357, 978, 690.
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}.