LCM of 902, 174, 840, 667, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 174, 840, 667, 642 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 902, 174, 840, 667, 642. So, keep reading to learn more.
Given numbers are 902,174,840,667,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,174,840,667,642 is 27037431960.
Find LCM of 902,174,840,667,642 with Prime Factorization
| 2 | 902, 174, 840, 667, 642 |
| 3 | 451, 87, 420, 667, 321 |
| 29 | 451, 29, 140, 667, 107 |
| 451, 1, 140, 23, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 451 x 1 x 140 x 23 x 107 = 27037431960
Therefore, the lowest common multiple of 902,174,840,667,642 is 27037431960.
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.
902 x 174 x 840 x 667 x 642 = 56454157932480
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
174 : 1, 2, 3, 6, 29, 58, 87, 174
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
667 : 1, 23, 29, 667
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,174,840,667,642, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
174:2x 3x 29
840:2x 2x 2x 3x 5x 7
667:23x 29
642:2x 3x 107
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 29 = 2088
Therefore, the value for common factors is 2088.
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 = 56454157932480/(1x2088)
LCM = 56454157932480/2088
LCM = 27037431960
Thus, we can understand that the LCM of 902,174,840,667,642 is 27037431960.
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FAQs on LCM of 902, 174, 840, 667, 642
1. What is the LCM of 902, 174, 840, 667, 642?
Answer: LCM of 902, 174, 840, 667, 642 is 27037431960.
2. How to calculate the LCM of 902, 174, 840, 667, 642?
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 902, 174, 840, 667, 642.
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}.