Find the LCM of 598, 281, 544, 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 598, 281, 544, 420. So, keep reading to learn more.
Given numbers are 598,281,544,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,281,544,420 is 4799165280.
Find LCM of 598,281,544,420 with Prime Factorization
2 | 598, 281, 544, 420 |
2 | 299, 281, 272, 210 |
299, 281, 136, 105 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 299 x 281 x 136 x 105 = 4799165280
Therefore, the lowest common multiple of 598,281,544,420 is 4799165280.
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.
598 x 281 x 544 x 420 = 38393322240
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
281 : 1, 281
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
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 598,281,544,420, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
281:281
544:2x 2x 2x 2x 2x 17
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 2 = 8
Therefore, the value for common factors is 8.
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 = 38393322240/(1x8)
LCM = 38393322240/8
LCM = 4799165280
Thus, we can understand that the LCM of 598,281,544,420 is 4799165280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 598, 281, 544, 420?
Answer: LCM of 598, 281, 544, 420 is 4799165280.
2. How to calculate the LCM of 598, 281, 544, 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 598, 281, 544, 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}.