Find the LCM of 918, 354, 319, 754, 431 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 918, 354, 319, 754, 431. So, keep reading to learn more.
Given numbers are 918,354,319,754,431
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 918,354,319,754,431 is 96806829834.
Find LCM of 918,354,319,754,431 with Prime Factorization
2 | 918, 354, 319, 754, 431 |
3 | 459, 177, 319, 377, 431 |
29 | 153, 59, 319, 377, 431 |
153, 59, 11, 13, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 153 x 59 x 11 x 13 x 431 = 96806829834
Therefore, the lowest common multiple of 918,354,319,754,431 is 96806829834.
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.
918 x 354 x 319 x 754 x 431 = 33688776782232
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.
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
354 : 1, 2, 3, 6, 59, 118, 177, 354
319 : 1, 11, 29, 319
754 : 1, 2, 13, 26, 29, 58, 377, 754
431 : 1, 431
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,354,319,754,431, is 1.
Now, the common factors can be found like this.
918:2x 3x 3x 3x 17
354:2x 3x 59
319:11x 29
754:2x 13x 29
431:431
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 29 = 348
Therefore, the value for common factors is 348.
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 = 33688776782232/(1x348)
LCM = 33688776782232/348
LCM = 96806829834
Thus, we can understand that the LCM of 918,354,319,754,431 is 96806829834.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 918, 354, 319, 754, 431?
Answer: LCM of 918, 354, 319, 754, 431 is 96806829834.
2. How to calculate the LCM of 918, 354, 319, 754, 431?
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 918, 354, 319, 754, 431.
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}.