Find the LCM of 785, 781, 157, 942 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 785, 781, 157, 942. So, keep reading to learn more.
Given numbers are 785,781,157,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,781,157,942 is 3678510.
Find LCM of 785,781,157,942 with Prime Factorization
157 | 785, 781, 157, 942 |
5, 781, 1, 6 |
Multiply the prime numbers at the bottom and the left side.
157 x 5 x 781 x 1 x 6 = 3678510
Therefore, the lowest common multiple of 785,781,157,942 is 3678510.
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.
785 x 781 x 157 x 942 = 90671592990
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.
785 : 1, 5, 157, 785
781 : 1, 11, 71, 781
157 : 1, 157
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,781,157,942, is 1.
Now, the common factors can be found like this.
785:5x 157
781:11x 71
157:157
942:2x 3x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
157x 157 = 24649
Therefore, the value for common factors is 24649.
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 = 90671592990/(1x24649)
LCM = 90671592990/24649
LCM = 3678510
Thus, we can understand that the LCM of 785,781,157,942 is 3678510.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 785, 781, 157, 942?
Answer: LCM of 785, 781, 157, 942 is 3678510.
2. How to calculate the LCM of 785, 781, 157, 942?
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 785, 781, 157, 942.
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}.