LCM of 785, 756, 942, 416, 734
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 756, 942, 416, 734 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, 756, 942, 416, 734. So, keep reading to learn more.
Given numbers are 785,756,942,416,734
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,756,942,416,734 is 22651181280.
Find LCM of 785,756,942,416,734 with Prime Factorization
| 2 | 785, 756, 942, 416, 734 |
| 2 | 785, 378, 471, 208, 367 |
| 3 | 785, 189, 471, 104, 367 |
| 157 | 785, 63, 157, 104, 367 |
| 5, 63, 1, 104, 367 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 157 x 5 x 63 x 1 x 104 x 367 = 22651181280
Therefore, the lowest common multiple of 785,756,942,416,734 is 22651181280.
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 756 x 942 x 416 x 734 = 170699302126080
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
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
942 : 1, 2, 3, 6, 157, 314, 471, 942
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
734 : 1, 2, 367, 734
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,756,942,416,734, is 1.
Now, the common factors can be found like this.
785:5x 157
756:2x 2x 3x 3x 3x 7
942:2x 3x 157
416:2x 2x 2x 2x 2x 13
734:2x 367
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 157 = 7536
Therefore, the value for common factors is 7536.
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 = 170699302126080/(1x7536)
LCM = 170699302126080/7536
LCM = 22651181280
Thus, we can understand that the LCM of 785,756,942,416,734 is 22651181280.
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FAQs on LCM of 785, 756, 942, 416, 734
1. What is the LCM of 785, 756, 942, 416, 734?
Answer: LCM of 785, 756, 942, 416, 734 is 22651181280.
2. How to calculate the LCM of 785, 756, 942, 416, 734?
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, 756, 942, 416, 734.
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}.