Find the LCM of 598, 676, 824, 552, 542 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, 676, 824, 552, 542. So, keep reading to learn more.
Given numbers are 598,676,824,552,542
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,676,824,552,542 is 2603947944.
Find LCM of 598,676,824,552,542 with Prime Factorization
2 | 598, 676, 824, 552, 542 |
2 | 299, 338, 412, 276, 271 |
2 | 299, 169, 206, 138, 271 |
13 | 299, 169, 103, 69, 271 |
23 | 23, 13, 103, 69, 271 |
1, 13, 103, 3, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 23 x 1 x 13 x 103 x 3 x 271 = 2603947944
Therefore, the lowest common multiple of 598,676,824,552,542 is 2603947944.
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 676 x 824 x 552 x 542 = 99658295712768
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
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
824 : 1, 2, 4, 8, 103, 206, 412, 824
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
542 : 1, 2, 271, 542
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,676,824,552,542, is 2.
Now, the common factors can be found like this.
598:2x 13x 23
676:2x 2x 13x 13
824:2x 2x 2x 103
552:2x 2x 2x 3x 23
542:2x 271
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 2x 2x 2x 2x 13x 23 = 19136
Therefore, the value for common factors is 19136.
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 = 99658295712768/(2x19136)
LCM = 99658295712768/38272
LCM = 2603947944
Thus, we can understand that the LCM of 598,676,824,552,542 is 2603947944.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 598, 676, 824, 552, 542?
Answer: LCM of 598, 676, 824, 552, 542 is 2603947944.
2. How to calculate the LCM of 598, 676, 824, 552, 542?
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, 676, 824, 552, 542.
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}.