LCM of 630, 690, 874, 766, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 630, 690, 874, 766, 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 630, 690, 874, 766, 978. So, keep reading to learn more.
Given numbers are 630,690,874,766,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,690,874,766,978 is 17187327990.
Find LCM of 630,690,874,766,978 with Prime Factorization
| 2 | 630, 690, 874, 766, 978 |
| 3 | 315, 345, 437, 383, 489 |
| 5 | 105, 115, 437, 383, 163 |
| 23 | 21, 23, 437, 383, 163 |
| 21, 1, 19, 383, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 21 x 1 x 19 x 383 x 163 = 17187327990
Therefore, the lowest common multiple of 630,690,874,766,978 is 17187327990.
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.
630 x 690 x 874 x 766 x 978 = 284622151514400
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.
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
874 : 1, 2, 19, 23, 38, 46, 437, 874
766 : 1, 2, 383, 766
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 630,690,874,766,978, is 2.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
690:2x 3x 5x 23
874:2x 19x 23
766:2x 383
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 2x 3x 3x 5x 23 = 8280
Therefore, the value for common factors is 8280.
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 = 284622151514400/(2x8280)
LCM = 284622151514400/16560
LCM = 17187327990
Thus, we can understand that the LCM of 630,690,874,766,978 is 17187327990.
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FAQs on LCM of 630, 690, 874, 766, 978
1. What is the LCM of 630, 690, 874, 766, 978?
Answer: LCM of 630, 690, 874, 766, 978 is 17187327990.
2. How to calculate the LCM of 630, 690, 874, 766, 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 630, 690, 874, 766, 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}.