LCM of 760, 173, 185, 216, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 173, 185, 216, 294 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 760, 173, 185, 216, 294. So, keep reading to learn more.
Given numbers are 760,173,185,216,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,173,185,216,294 is 6436077480.
Find LCM of 760,173,185,216,294 with Prime Factorization
| 2 | 760, 173, 185, 216, 294 |
| 2 | 380, 173, 185, 108, 147 |
| 2 | 190, 173, 185, 54, 147 |
| 3 | 95, 173, 185, 27, 147 |
| 5 | 95, 173, 185, 9, 49 |
| 19, 173, 37, 9, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 19 x 173 x 37 x 9 x 49 = 6436077480
Therefore, the lowest common multiple of 760,173,185,216,294 is 6436077480.
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.
760 x 173 x 185 x 216 x 294 = 1544658595200
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
173 : 1, 173
185 : 1, 5, 37, 185
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,173,185,216,294, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
173:173
185:5x 37
216:2x 2x 2x 3x 3x 3
294:2x 3x 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.
2x 2x 2x 2x 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 1544658595200/(1x240)
LCM = 1544658595200/240
LCM = 6436077480
Thus, we can understand that the LCM of 760,173,185,216,294 is 6436077480.
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FAQs on LCM of 760, 173, 185, 216, 294
1. What is the LCM of 760, 173, 185, 216, 294?
Answer: LCM of 760, 173, 185, 216, 294 is 6436077480.
2. How to calculate the LCM of 760, 173, 185, 216, 294?
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 760, 173, 185, 216, 294.
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}.