LCM of 961, 385, 781, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 961, 385, 781, 735 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 961, 385, 781, 735. So, keep reading to learn more.
Given numbers are 961,385,781,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 961,385,781,735 is 551647635.
Find LCM of 961,385,781,735 with Prime Factorization
| 5 | 961, 385, 781, 735 |
| 7 | 961, 77, 781, 147 |
| 11 | 961, 11, 781, 21 |
| 961, 1, 71, 21 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 11 x 961 x 1 x 71 x 21 = 551647635
Therefore, the lowest common multiple of 961,385,781,735 is 551647635.
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.
961 x 385 x 781 x 735 = 212384339475
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.
961 : 1, 31, 961
385 : 1, 5, 7, 11, 35, 55, 77, 385
781 : 1, 11, 71, 781
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,385,781,735, is 1.
Now, the common factors can be found like this.
961:31x 31
385:5x 7x 11
781:11x 71
735:3x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 11 = 385
Therefore, the value for common factors is 385.
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 = 212384339475/(1x385)
LCM = 212384339475/385
LCM = 551647635
Thus, we can understand that the LCM of 961,385,781,735 is 551647635.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 961, 385, 781, 735
1. What is the LCM of 961, 385, 781, 735?
Answer: LCM of 961, 385, 781, 735 is 551647635.
2. How to calculate the LCM of 961, 385, 781, 735?
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 961, 385, 781, 735.
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}.