LCM of 143, 946, 641, 142, 301
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 143, 946, 641, 142, 301 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 143, 946, 641, 142, 301. So, keep reading to learn more.
Given numbers are 143,946,641,142,301
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,946,641,142,301 is 3917859946.
Find LCM of 143,946,641,142,301 with Prime Factorization
| 2 | 143, 946, 641, 142, 301 |
| 11 | 143, 473, 641, 71, 301 |
| 43 | 13, 43, 641, 71, 301 |
| 13, 1, 641, 71, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 43 x 13 x 1 x 641 x 71 x 7 = 3917859946
Therefore, the lowest common multiple of 143,946,641,142,301 is 3917859946.
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.
143 x 946 x 641 x 142 x 301 = 3706295508916
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.
143 : 1, 11, 13, 143
946 : 1, 2, 11, 22, 43, 86, 473, 946
641 : 1, 641
142 : 1, 2, 71, 142
301 : 1, 7, 43, 301
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,946,641,142,301, is 1.
Now, the common factors can be found like this.
143:11x 13
946:2x 11x 43
641:641
142:2x 71
301:7x 43
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 43 = 946
Therefore, the value for common factors is 946.
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 = 3706295508916/(1x946)
LCM = 3706295508916/946
LCM = 3917859946
Thus, we can understand that the LCM of 143,946,641,142,301 is 3917859946.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 143, 946, 641, 142, 301
1. What is the LCM of 143, 946, 641, 142, 301?
Answer: LCM of 143, 946, 641, 142, 301 is 3917859946.
2. How to calculate the LCM of 143, 946, 641, 142, 301?
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 143, 946, 641, 142, 301.
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}.