Find the LCM of 630, 924, 940, 974, 757 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 630, 924, 940, 974, 757. So, keep reading to learn more.
Given numbers are 630,924,940,974,757
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,924,940,974,757 is 240151845780.
Find LCM of 630,924,940,974,757 with Prime Factorization
2 | 630, 924, 940, 974, 757 |
2 | 315, 462, 470, 487, 757 |
3 | 315, 231, 235, 487, 757 |
5 | 105, 77, 235, 487, 757 |
7 | 21, 77, 47, 487, 757 |
3, 11, 47, 487, 757 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 3 x 11 x 47 x 487 x 757 = 240151845780
Therefore, the lowest common multiple of 630,924,940,974,757 is 240151845780.
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.
630 x 924 x 940 x 974 x 757 = 403455100910400
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.
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
974 : 1, 2, 487, 974
757 : 1, 757
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,924,940,974,757, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
924:2x 2x 3x 7x 11
940:2x 2x 5x 47
974:2x 487
757:757
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 3x 5x 7 = 1680
Therefore, the value for common factors is 1680.
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 = 403455100910400/(1x1680)
LCM = 403455100910400/1680
LCM = 240151845780
Thus, we can understand that the LCM of 630,924,940,974,757 is 240151845780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 630, 924, 940, 974, 757?
Answer: LCM of 630, 924, 940, 974, 757 is 240151845780.
2. How to calculate the LCM of 630, 924, 940, 974, 757?
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 630, 924, 940, 974, 757.
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}.