LCM of 535, 346, 385, 187, 132
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 346, 385, 187, 132 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 535, 346, 385, 187, 132. So, keep reading to learn more.
Given numbers are 535,346,385,187,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,346,385,187,132 is 1453853940.
Find LCM of 535,346,385,187,132 with Prime Factorization
| 2 | 535, 346, 385, 187, 132 |
| 5 | 535, 173, 385, 187, 66 |
| 11 | 107, 173, 77, 187, 66 |
| 107, 173, 7, 17, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 107 x 173 x 7 x 17 x 6 = 1453853940
Therefore, the lowest common multiple of 535,346,385,187,132 is 1453853940.
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.
535 x 346 x 385 x 187 x 132 = 1759163267400
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.
535 : 1, 5, 107, 535
346 : 1, 2, 173, 346
385 : 1, 5, 7, 11, 35, 55, 77, 385
187 : 1, 11, 17, 187
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,346,385,187,132, is 1.
Now, the common factors can be found like this.
535:5x 107
346:2x 173
385:5x 7x 11
187:11x 17
132:2x 2x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 11 = 1210
Therefore, the value for common factors is 1210.
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 = 1759163267400/(1x1210)
LCM = 1759163267400/1210
LCM = 1453853940
Thus, we can understand that the LCM of 535,346,385,187,132 is 1453853940.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 535, 346, 385, 187, 132
1. What is the LCM of 535, 346, 385, 187, 132?
Answer: LCM of 535, 346, 385, 187, 132 is 1453853940.
2. How to calculate the LCM of 535, 346, 385, 187, 132?
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 535, 346, 385, 187, 132.
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}.