LCM of 670, 881, 490, 812, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 670, 881, 490, 812, 120 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 670, 881, 490, 812, 120. So, keep reading to learn more.
Given numbers are 670,881,490,812,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,881,490,812,120 is 10065284040.
Find LCM of 670,881,490,812,120 with Prime Factorization
| 2 | 670, 881, 490, 812, 120 |
| 2 | 335, 881, 245, 406, 60 |
| 5 | 335, 881, 245, 203, 30 |
| 7 | 67, 881, 49, 203, 6 |
| 67, 881, 7, 29, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 67 x 881 x 7 x 29 x 6 = 10065284040
Therefore, the lowest common multiple of 670,881,490,812,120 is 10065284040.
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.
670 x 881 x 490 x 812 x 120 = 28182795312000
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.
670 : 1, 2, 5, 10, 67, 134, 335, 670
881 : 1, 881
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,881,490,812,120, is 1.
Now, the common factors can be found like this.
670:2x 5x 67
881:881
490:2x 5x 7x 7
812:2x 2x 7x 29
120:2x 2x 2x 3x 5
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 5x 5x 7 = 2800
Therefore, the value for common factors is 2800.
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 = 28182795312000/(1x2800)
LCM = 28182795312000/2800
LCM = 10065284040
Thus, we can understand that the LCM of 670,881,490,812,120 is 10065284040.
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FAQs on LCM of 670, 881, 490, 812, 120
1. What is the LCM of 670, 881, 490, 812, 120?
Answer: LCM of 670, 881, 490, 812, 120 is 10065284040.
2. How to calculate the LCM of 670, 881, 490, 812, 120?
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 670, 881, 490, 812, 120.
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}.