LCM of 404, 974, 978, 385, 707
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 404, 974, 978, 385, 707 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 404, 974, 978, 385, 707. So, keep reading to learn more.
Given numbers are 404,974,978,385,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 404,974,978,385,707 is 37040762220.
Find LCM of 404,974,978,385,707 with Prime Factorization
| 2 | 404, 974, 978, 385, 707 |
| 7 | 202, 487, 489, 385, 707 |
| 101 | 202, 487, 489, 55, 101 |
| 2, 487, 489, 55, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 101 x 2 x 487 x 489 x 55 x 1 = 37040762220
Therefore, the lowest common multiple of 404,974,978,385,707 is 37040762220.
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.
404 x 974 x 978 x 385 x 707 = 104751275558160
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.
404 : 1, 2, 4, 101, 202, 404
974 : 1, 2, 487, 974
978 : 1, 2, 3, 6, 163, 326, 489, 978
385 : 1, 5, 7, 11, 35, 55, 77, 385
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 404,974,978,385,707, is 1.
Now, the common factors can be found like this.
404:2x 2x 101
974:2x 487
978:2x 3x 163
385:5x 7x 11
707:7x 101
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 101 = 2828
Therefore, the value for common factors is 2828.
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 = 104751275558160/(1x2828)
LCM = 104751275558160/2828
LCM = 37040762220
Thus, we can understand that the LCM of 404,974,978,385,707 is 37040762220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 404, 974, 978, 385, 707
1. What is the LCM of 404, 974, 978, 385, 707?
Answer: LCM of 404, 974, 978, 385, 707 is 37040762220.
2. How to calculate the LCM of 404, 974, 978, 385, 707?
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 404, 974, 978, 385, 707.
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}.