LCM of 785, 735, 756, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 735, 756, 684 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, 735, 756, 684. So, keep reading to learn more.
Given numbers are 785,735,756,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,735,756,684 is 78930180.
Find LCM of 785,735,756,684 with Prime Factorization
| 2 | 785, 735, 756, 684 |
| 2 | 785, 735, 378, 342 |
| 3 | 785, 735, 189, 171 |
| 3 | 785, 245, 63, 57 |
| 5 | 785, 245, 21, 19 |
| 7 | 157, 49, 21, 19 |
| 157, 7, 3, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 157 x 7 x 3 x 19 = 78930180
Therefore, the lowest common multiple of 785,735,756,684 is 78930180.
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 735 x 756 x 684 = 298356080400
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
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
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
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,735,756,684, is 1.
Now, the common factors can be found like this.
785:5x 157
735:3x 5x 7x 7
756:2x 2x 3x 3x 3x 7
684:2x 2x 3x 3x 19
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 3x 3x 3x 5x 7 = 3780
Therefore, the value for common factors is 3780.
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 = 298356080400/(1x3780)
LCM = 298356080400/3780
LCM = 78930180
Thus, we can understand that the LCM of 785,735,756,684 is 78930180.
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FAQs on LCM of 785, 735, 756, 684
1. What is the LCM of 785, 735, 756, 684?
Answer: LCM of 785, 735, 756, 684 is 78930180.
2. How to calculate the LCM of 785, 735, 756, 684?
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, 735, 756, 684.
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}.