LCM of 135, 924, 945, 358
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 135, 924, 945, 358 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 135, 924, 945, 358. So, keep reading to learn more.
Given numbers are 135,924,945,358
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 135,924,945,358 is 7442820.
Find LCM of 135,924,945,358 with Prime Factorization
| 2 | 135, 924, 945, 358 |
| 3 | 135, 462, 945, 179 |
| 3 | 45, 154, 315, 179 |
| 3 | 15, 154, 105, 179 |
| 5 | 5, 154, 35, 179 |
| 7 | 1, 154, 7, 179 |
| 1, 22, 1, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 7 x 1 x 22 x 1 x 179 = 7442820
Therefore, the lowest common multiple of 135,924,945,358 is 7442820.
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.
135 x 924 x 945 x 358 = 42200789400
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.
135 : 1, 3, 5, 9, 15, 27, 45, 135
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
358 : 1, 2, 179, 358
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,924,945,358, is 1.
Now, the common factors can be found like this.
135:3x 3x 3x 5
924:2x 2x 3x 7x 11
945:3x 3x 3x 5x 7
358:2x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 5x 7 = 5670
Therefore, the value for common factors is 5670.
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 = 42200789400/(1x5670)
LCM = 42200789400/5670
LCM = 7442820
Thus, we can understand that the LCM of 135,924,945,358 is 7442820.
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FAQs on LCM of 135, 924, 945, 358
1. What is the LCM of 135, 924, 945, 358?
Answer: LCM of 135, 924, 945, 358 is 7442820.
2. How to calculate the LCM of 135, 924, 945, 358?
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 135, 924, 945, 358.
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}.