LCM of 248, 103, 694, 309, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 248, 103, 694, 309, 473 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 248, 103, 694, 309, 473. So, keep reading to learn more.
Given numbers are 248,103,694,309,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 248,103,694,309,473 is 12577686792.
Find LCM of 248,103,694,309,473 with Prime Factorization
| 2 | 248, 103, 694, 309, 473 |
| 103 | 124, 103, 347, 309, 473 |
| 124, 1, 347, 3, 473 |
Multiply the prime numbers at the bottom and the left side.
2 x 103 x 124 x 1 x 347 x 3 x 473 = 12577686792
Therefore, the lowest common multiple of 248,103,694,309,473 is 12577686792.
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.
248 x 103 x 694 x 309 x 473 = 2591003479152
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.
248 : 1, 2, 4, 8, 31, 62, 124, 248
103 : 1, 103
694 : 1, 2, 347, 694
309 : 1, 3, 103, 309
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,103,694,309,473, is 1.
Now, the common factors can be found like this.
248:2x 2x 2x 31
103:103
694:2x 347
309:3x 103
473:11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 103 = 206
Therefore, the value for common factors is 206.
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 = 2591003479152/(1x206)
LCM = 2591003479152/206
LCM = 12577686792
Thus, we can understand that the LCM of 248,103,694,309,473 is 12577686792.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 248, 103, 694, 309, 473
1. What is the LCM of 248, 103, 694, 309, 473?
Answer: LCM of 248, 103, 694, 309, 473 is 12577686792.
2. How to calculate the LCM of 248, 103, 694, 309, 473?
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 248, 103, 694, 309, 473.
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}.