LCM of 778, 988, 843, 974, 300
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 778, 988, 843, 974, 300 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 778, 988, 843, 974, 300. So, keep reading to learn more.
Given numbers are 778,988,843,974,300
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 778,988,843,974,300 is 3944601090300.
Find LCM of 778,988,843,974,300 with Prime Factorization
| 2 | 778, 988, 843, 974, 300 |
| 2 | 389, 494, 843, 487, 150 |
| 3 | 389, 247, 843, 487, 75 |
| 389, 247, 281, 487, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 389 x 247 x 281 x 487 x 25 = 3944601090300
Therefore, the lowest common multiple of 778,988,843,974,300 is 3944601090300.
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.
778 x 988 x 843 x 974 x 300 = 189340852334400
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.
778 : 1, 2, 389, 778
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
843 : 1, 3, 281, 843
974 : 1, 2, 487, 974
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,988,843,974,300, is 1.
Now, the common factors can be found like this.
778:2x 389
988:2x 2x 13x 19
843:3x 281
974:2x 487
300:2x 2x 3x 5x 5
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 3 = 48
Therefore, the value for common factors is 48.
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 = 189340852334400/(1x48)
LCM = 189340852334400/48
LCM = 3944601090300
Thus, we can understand that the LCM of 778,988,843,974,300 is 3944601090300.
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FAQs on LCM of 778, 988, 843, 974, 300
1. What is the LCM of 778, 988, 843, 974, 300?
Answer: LCM of 778, 988, 843, 974, 300 is 3944601090300.
2. How to calculate the LCM of 778, 988, 843, 974, 300?
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 778, 988, 843, 974, 300.
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}.