LCM of 870, 667, 633, 918, 119
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 870, 667, 633, 918, 119 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 870, 667, 633, 918, 119. So, keep reading to learn more.
Given numbers are 870,667,633,918,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 870,667,633,918,119 is 4521879810.
Find LCM of 870,667,633,918,119 with Prime Factorization
| 2 | 870, 667, 633, 918, 119 |
| 3 | 435, 667, 633, 459, 119 |
| 17 | 145, 667, 211, 153, 119 |
| 29 | 145, 667, 211, 9, 7 |
| 5, 23, 211, 9, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 29 x 5 x 23 x 211 x 9 x 7 = 4521879810
Therefore, the lowest common multiple of 870,667,633,918,119 is 4521879810.
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.
870 x 667 x 633 x 918 x 119 = 40127161433940
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.
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
667 : 1, 23, 29, 667
633 : 1, 3, 211, 633
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,667,633,918,119, is 1.
Now, the common factors can be found like this.
870:2x 3x 5x 29
667:23x 29
633:3x 211
918:2x 3x 3x 3x 17
119:7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 17x 29 = 8874
Therefore, the value for common factors is 8874.
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 = 40127161433940/(1x8874)
LCM = 40127161433940/8874
LCM = 4521879810
Thus, we can understand that the LCM of 870,667,633,918,119 is 4521879810.
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FAQs on LCM of 870, 667, 633, 918, 119
1. What is the LCM of 870, 667, 633, 918, 119?
Answer: LCM of 870, 667, 633, 918, 119 is 4521879810.
2. How to calculate the LCM of 870, 667, 633, 918, 119?
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 870, 667, 633, 918, 119.
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}.