Find the LCM of 974, 737, 938, 506, 695 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 974, 737, 938, 506, 695. So, keep reading to learn more.
Given numbers are 974,737,938,506,695
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,737,938,506,695 is 80322483010.
Find LCM of 974,737,938,506,695 with Prime Factorization
2 | 974, 737, 938, 506, 695 |
11 | 487, 737, 469, 253, 695 |
67 | 487, 67, 469, 23, 695 |
487, 1, 7, 23, 695 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 67 x 487 x 1 x 7 x 23 x 695 = 80322483010
Therefore, the lowest common multiple of 974,737,938,506,695 is 80322483010.
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.
974 x 737 x 938 x 506 x 695 = 236790679913480
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.
974 : 1, 2, 487, 974
737 : 1, 11, 67, 737
938 : 1, 2, 7, 14, 67, 134, 469, 938
506 : 1, 2, 11, 22, 23, 46, 253, 506
695 : 1, 5, 139, 695
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,737,938,506,695, is 1.
Now, the common factors can be found like this.
974:2x 487
737:11x 67
938:2x 7x 67
506:2x 11x 23
695:5x 139
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 11x 67 = 2948
Therefore, the value for common factors is 2948.
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 = 236790679913480/(1x2948)
LCM = 236790679913480/2948
LCM = 80322483010
Thus, we can understand that the LCM of 974,737,938,506,695 is 80322483010.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 974, 737, 938, 506, 695?
Answer: LCM of 974, 737, 938, 506, 695 is 80322483010.
2. How to calculate the LCM of 974, 737, 938, 506, 695?
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 974, 737, 938, 506, 695.
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}.