LCM of 421, 440, 902, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 421, 440, 902, 861 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 421, 440, 902, 861. So, keep reading to learn more.
Given numbers are 421,440,902,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,440,902,861 is 159491640.
Find LCM of 421,440,902,861 with Prime Factorization
| 2 | 421, 440, 902, 861 |
| 11 | 421, 220, 451, 861 |
| 41 | 421, 20, 41, 861 |
| 421, 20, 1, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 41 x 421 x 20 x 1 x 21 = 159491640
Therefore, the lowest common multiple of 421,440,902,861 is 159491640.
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.
421 x 440 x 902 x 861 = 143861459280
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.
421 : 1, 421
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
902 : 1, 2, 11, 22, 41, 82, 451, 902
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,440,902,861, is 1.
Now, the common factors can be found like this.
421:421
440:2x 2x 2x 5x 11
902:2x 11x 41
861:3x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 41 = 902
Therefore, the value for common factors is 902.
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 = 143861459280/(1x902)
LCM = 143861459280/902
LCM = 159491640
Thus, we can understand that the LCM of 421,440,902,861 is 159491640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 421, 440, 902, 861
1. What is the LCM of 421, 440, 902, 861?
Answer: LCM of 421, 440, 902, 861 is 159491640.
2. How to calculate the LCM of 421, 440, 902, 861?
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 421, 440, 902, 861.
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}.