LCM of 746, 476, 373, 238
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 476, 373, 238 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 746, 476, 373, 238. So, keep reading to learn more.
Given numbers are 746,476,373,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,476,373,238 is 177548.
Find LCM of 746,476,373,238 with Prime Factorization
| 2 | 746, 476, 373, 238 |
| 7 | 373, 238, 373, 119 |
| 17 | 373, 34, 373, 17 |
| 373 | 373, 2, 373, 1 |
| 1, 2, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 373 x 1 x 2 x 1 x 1 = 177548
Therefore, the lowest common multiple of 746,476,373,238 is 177548.
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.
746 x 476 x 373 x 238 = 31523292304
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.
746 : 1, 2, 373, 746
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
373 : 1, 373
238 : 1, 2, 7, 14, 17, 34, 119, 238
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,476,373,238, is 1.
Now, the common factors can be found like this.
746:2x 373
476:2x 2x 7x 17
373:373
238:2x 7x 17
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 7x 17x 373 = 177548
Therefore, the value for common factors is 177548.
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 = 31523292304/(1x177548)
LCM = 31523292304/177548
LCM = 177548
Thus, we can understand that the LCM of 746,476,373,238 is 177548.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 746, 476, 373, 238
1. What is the LCM of 746, 476, 373, 238?
Answer: LCM of 746, 476, 373, 238 is 177548.
2. How to calculate the LCM of 746, 476, 373, 238?
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 746, 476, 373, 238.
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}.