Find the LCM of 377, 482, 281, 814, 972 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 377, 482, 281, 814, 972. So, keep reading to learn more.
Given numbers are 377,482,281,814,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,482,281,814,972 is 10100093328468.
Find LCM of 377,482,281,814,972 with Prime Factorization
2 | 377, 482, 281, 814, 972 |
377, 241, 281, 407, 486 |
Multiply the prime numbers at the bottom and the left side.
2 x 377 x 241 x 281 x 407 x 486 = 10100093328468
Therefore, the lowest common multiple of 377,482,281,814,972 is 10100093328468.
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.
377 x 482 x 281 x 814 x 972 = 40400373313872
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.
377 : 1, 13, 29, 377
482 : 1, 2, 241, 482
281 : 1, 281
814 : 1, 2, 11, 22, 37, 74, 407, 814
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,482,281,814,972, is 1.
Now, the common factors can be found like this.
377:13x 29
482:2x 241
281:281
814:2x 11x 37
972:2x 2x 3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 40400373313872/(1x4)
LCM = 40400373313872/4
LCM = 10100093328468
Thus, we can understand that the LCM of 377,482,281,814,972 is 10100093328468.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 377, 482, 281, 814, 972?
Answer: LCM of 377, 482, 281, 814, 972 is 10100093328468.
2. How to calculate the LCM of 377, 482, 281, 814, 972?
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 377, 482, 281, 814, 972.
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}.