LCM of 694, 168, 371, 407, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 168, 371, 407, 448 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 694, 168, 371, 407, 448. So, keep reading to learn more.
Given numbers are 694,168,371,407,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,168,371,407,448 is 10060024128.
Find LCM of 694,168,371,407,448 with Prime Factorization
| 2 | 694, 168, 371, 407, 448 |
| 2 | 347, 84, 371, 407, 224 |
| 2 | 347, 42, 371, 407, 112 |
| 7 | 347, 21, 371, 407, 56 |
| 347, 3, 53, 407, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 347 x 3 x 53 x 407 x 8 = 10060024128
Therefore, the lowest common multiple of 694,168,371,407,448 is 10060024128.
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.
694 x 168 x 371 x 407 x 448 = 7887058916352
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.
694 : 1, 2, 347, 694
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
371 : 1, 7, 53, 371
407 : 1, 11, 37, 407
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,168,371,407,448, is 1.
Now, the common factors can be found like this.
694:2x 347
168:2x 2x 2x 3x 7
371:7x 53
407:11x 37
448:2x 2x 2x 2x 2x 2x 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 7x 7 = 784
Therefore, the value for common factors is 784.
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 = 7887058916352/(1x784)
LCM = 7887058916352/784
LCM = 10060024128
Thus, we can understand that the LCM of 694,168,371,407,448 is 10060024128.
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FAQs on LCM of 694, 168, 371, 407, 448
1. What is the LCM of 694, 168, 371, 407, 448?
Answer: LCM of 694, 168, 371, 407, 448 is 10060024128.
2. How to calculate the LCM of 694, 168, 371, 407, 448?
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 694, 168, 371, 407, 448.
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}.