Find the LCM of 282, 357, 377, 754, 420 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 282, 357, 377, 754, 420. So, keep reading to learn more.
Given numbers are 282,357,377,754,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,357,377,754,420 is 126513660.
Find LCM of 282,357,377,754,420 with Prime Factorization
2 | 282, 357, 377, 754, 420 |
3 | 141, 357, 377, 377, 210 |
7 | 47, 119, 377, 377, 70 |
13 | 47, 17, 377, 377, 10 |
29 | 47, 17, 29, 29, 10 |
47, 17, 1, 1, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 29 x 47 x 17 x 1 x 1 x 10 = 126513660
Therefore, the lowest common multiple of 282,357,377,754,420 is 126513660.
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.
282 x 357 x 377 x 754 x 420 = 12019303754640
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
357 : 1, 3, 7, 17, 21, 51, 119, 357
377 : 1, 13, 29, 377
754 : 1, 2, 13, 26, 29, 58, 377, 754
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,357,377,754,420, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
357:3x 7x 17
377:13x 29
754:2x 13x 29
420:2x 2x 3x 5x 7
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 3x 7x 13x 29 = 95004
Therefore, the value for common factors is 95004.
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 = 12019303754640/(1x95004)
LCM = 12019303754640/95004
LCM = 126513660
Thus, we can understand that the LCM of 282,357,377,754,420 is 126513660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 282, 357, 377, 754, 420?
Answer: LCM of 282, 357, 377, 754, 420 is 126513660.
2. How to calculate the LCM of 282, 357, 377, 754, 420?
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 282, 357, 377, 754, 420.
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}.