LCM of 759, 759, 429, 965
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 759, 759, 429, 965 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 759, 759, 429, 965. So, keep reading to learn more.
Given numbers are 759,759,429,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,759,429,965 is 9521655.
Find LCM of 759,759,429,965 with Prime Factorization
| 3 | 759, 759, 429, 965 |
| 11 | 253, 253, 143, 965 |
| 23 | 23, 23, 13, 965 |
| 1, 1, 13, 965 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 23 x 1 x 1 x 13 x 965 = 9521655
Therefore, the lowest common multiple of 759,759,429,965 is 9521655.
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.
759 x 759 x 429 x 965 = 238488892785
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.
759 : 1, 3, 11, 23, 33, 69, 253, 759
759 : 1, 3, 11, 23, 33, 69, 253, 759
429 : 1, 3, 11, 13, 33, 39, 143, 429
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,759,429,965, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
759:3x 11x 23
429:3x 11x 13
965:5x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 11x 23 = 25047
Therefore, the value for common factors is 25047.
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 = 238488892785/(1x25047)
LCM = 238488892785/25047
LCM = 9521655
Thus, we can understand that the LCM of 759,759,429,965 is 9521655.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 759, 759, 429, 965
1. What is the LCM of 759, 759, 429, 965?
Answer: LCM of 759, 759, 429, 965 is 9521655.
2. How to calculate the LCM of 759, 759, 429, 965?
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 759, 759, 429, 965.
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}.