LCM of 970, 853, 770, 840, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 970, 853, 770, 840, 144 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 970, 853, 770, 840, 144. So, keep reading to learn more.
Given numbers are 970,853,770,840,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,853,770,840,144 is 4587161040.
Find LCM of 970,853,770,840,144 with Prime Factorization
| 2 | 970, 853, 770, 840, 144 |
| 2 | 485, 853, 385, 420, 72 |
| 2 | 485, 853, 385, 210, 36 |
| 3 | 485, 853, 385, 105, 18 |
| 5 | 485, 853, 385, 35, 6 |
| 7 | 97, 853, 77, 7, 6 |
| 97, 853, 11, 1, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 97 x 853 x 11 x 1 x 6 = 4587161040
Therefore, the lowest common multiple of 970,853,770,840,144 is 4587161040.
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.
970 x 853 x 770 x 840 x 144 = 77064305472000
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
853 : 1, 853
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,853,770,840,144, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
853:853
770:2x 5x 7x 11
840:2x 2x 2x 3x 5x 7
144:2x 2x 2x 2x 3x 3
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 2x 2x 3x 5x 5x 7 = 16800
Therefore, the value for common factors is 16800.
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 = 77064305472000/(1x16800)
LCM = 77064305472000/16800
LCM = 4587161040
Thus, we can understand that the LCM of 970,853,770,840,144 is 4587161040.
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FAQs on LCM of 970, 853, 770, 840, 144
1. What is the LCM of 970, 853, 770, 840, 144?
Answer: LCM of 970, 853, 770, 840, 144 is 4587161040.
2. How to calculate the LCM of 970, 853, 770, 840, 144?
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 970, 853, 770, 840, 144.
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}.