LCM of 954, 770, 901, 588, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 954, 770, 901, 588, 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 954, 770, 901, 588, 978. So, keep reading to learn more.
Given numbers are 954,770,901,588,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 954,770,901,588,978 is 14248648260.
Find LCM of 954,770,901,588,978 with Prime Factorization
| 2 | 954, 770, 901, 588, 978 |
| 3 | 477, 385, 901, 294, 489 |
| 7 | 159, 385, 901, 98, 163 |
| 53 | 159, 55, 901, 14, 163 |
| 3, 55, 17, 14, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 53 x 3 x 55 x 17 x 14 x 163 = 14248648260
Therefore, the lowest common multiple of 954,770,901,588,978 is 14248648260.
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.
954 x 770 x 901 x 588 x 978 = 380609892321120
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.
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
901 : 1, 17, 53, 901
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
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 954,770,901,588,978, is 1.
Now, the common factors can be found like this.
954:2x 3x 3x 53
770:2x 5x 7x 11
901:17x 53
588:2x 2x 3x 7x 7
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 7x 53 = 26712
Therefore, the value for common factors is 26712.
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 = 380609892321120/(1x26712)
LCM = 380609892321120/26712
LCM = 14248648260
Thus, we can understand that the LCM of 954,770,901,588,978 is 14248648260.
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FAQs on LCM of 954, 770, 901, 588, 978
1. What is the LCM of 954, 770, 901, 588, 978?
Answer: LCM of 954, 770, 901, 588, 978 is 14248648260.
2. How to calculate the LCM of 954, 770, 901, 588, 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 954, 770, 901, 588, 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}.