LCM of 373, 915, 346, 632, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 373, 915, 346, 632, 756 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 373, 915, 346, 632, 756. So, keep reading to learn more.
Given numbers are 373,915,346,632,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 373,915,346,632,756 is 2350897297560.
Find LCM of 373,915,346,632,756 with Prime Factorization
| 2 | 373, 915, 346, 632, 756 |
| 2 | 373, 915, 173, 316, 378 |
| 3 | 373, 915, 173, 158, 189 |
| 373, 305, 173, 158, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 373 x 305 x 173 x 158 x 63 = 2350897297560
Therefore, the lowest common multiple of 373,915,346,632,756 is 2350897297560.
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.
373 x 915 x 346 x 632 x 756 = 56421535141440
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.
373 : 1, 373
915 : 1, 3, 5, 15, 61, 183, 305, 915
346 : 1, 2, 173, 346
632 : 1, 2, 4, 8, 79, 158, 316, 632
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,915,346,632,756, is 1.
Now, the common factors can be found like this.
373:373
915:3x 5x 61
346:2x 173
632:2x 2x 2x 79
756:2x 2x 3x 3x 3x 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 3 = 24
Therefore, the value for common factors is 24.
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 = 56421535141440/(1x24)
LCM = 56421535141440/24
LCM = 2350897297560
Thus, we can understand that the LCM of 373,915,346,632,756 is 2350897297560.
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FAQs on LCM of 373, 915, 346, 632, 756
1. What is the LCM of 373, 915, 346, 632, 756?
Answer: LCM of 373, 915, 346, 632, 756 is 2350897297560.
2. How to calculate the LCM of 373, 915, 346, 632, 756?
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 373, 915, 346, 632, 756.
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}.