LCM of 775, 202, 385, 602, 121
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 775, 202, 385, 602, 121 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 775, 202, 385, 602, 121. So, keep reading to learn more.
Given numbers are 775,202,385,602,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,202,385,602,121 is 5701707550.
Find LCM of 775,202,385,602,121 with Prime Factorization
| 2 | 775, 202, 385, 602, 121 |
| 5 | 775, 101, 385, 301, 121 |
| 7 | 155, 101, 77, 301, 121 |
| 11 | 155, 101, 11, 43, 121 |
| 155, 101, 1, 43, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 155 x 101 x 1 x 43 x 11 = 5701707550
Therefore, the lowest common multiple of 775,202,385,602,121 is 5701707550.
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.
775 x 202 x 385 x 602 x 121 = 4390314813500
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.
775 : 1, 5, 25, 31, 155, 775
202 : 1, 2, 101, 202
385 : 1, 5, 7, 11, 35, 55, 77, 385
602 : 1, 2, 7, 14, 43, 86, 301, 602
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,202,385,602,121, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
202:2x 101
385:5x 7x 11
602:2x 7x 43
121:11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 11 = 770
Therefore, the value for common factors is 770.
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 = 4390314813500/(1x770)
LCM = 4390314813500/770
LCM = 5701707550
Thus, we can understand that the LCM of 775,202,385,602,121 is 5701707550.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 775, 202, 385, 602, 121
1. What is the LCM of 775, 202, 385, 602, 121?
Answer: LCM of 775, 202, 385, 602, 121 is 5701707550.
2. How to calculate the LCM of 775, 202, 385, 602, 121?
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 775, 202, 385, 602, 121.
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}.