LCM of 121, 462, 978, 602
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 121, 462, 978, 602 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 121, 462, 978, 602. So, keep reading to learn more.
Given numbers are 121,462,978,602
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 121,462,978,602 is 35619738.
Find LCM of 121,462,978,602 with Prime Factorization
| 2 | 121, 462, 978, 602 |
| 3 | 121, 231, 489, 301 |
| 7 | 121, 77, 163, 301 |
| 11 | 121, 11, 163, 43 |
| 1, 11, 163, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 1 x 11 x 163 x 43 = 35619738
Therefore, the lowest common multiple of 121,462,978,602 is 35619738.
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.
121 x 462 x 978 x 602 = 32912637912
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.
121 : 1, 11, 121
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
978 : 1, 2, 3, 6, 163, 326, 489, 978
602 : 1, 2, 7, 14, 43, 86, 301, 602
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,462,978,602, is 1.
Now, the common factors can be found like this.
121:11x 11
462:2x 3x 7x 11
978:2x 3x 163
602:2x 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 2x 3x 7x 11 = 924
Therefore, the value for common factors is 924.
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 = 32912637912/(1x924)
LCM = 32912637912/924
LCM = 35619738
Thus, we can understand that the LCM of 121,462,978,602 is 35619738.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 121, 462, 978, 602
1. What is the LCM of 121, 462, 978, 602?
Answer: LCM of 121, 462, 978, 602 is 35619738.
2. How to calculate the LCM of 121, 462, 978, 602?
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 121, 462, 978, 602.
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}.