LCM of 740, 222, 795, 444, 403
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 740, 222, 795, 444, 403 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 740, 222, 795, 444, 403. So, keep reading to learn more.
Given numbers are 740,222,795,444,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 740,222,795,444,403 is 47416980.
Find LCM of 740,222,795,444,403 with Prime Factorization
| 2 | 740, 222, 795, 444, 403 |
| 2 | 370, 111, 795, 222, 403 |
| 3 | 185, 111, 795, 111, 403 |
| 5 | 185, 37, 265, 37, 403 |
| 37 | 37, 37, 53, 37, 403 |
| 1, 1, 53, 1, 403 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 37 x 1 x 1 x 53 x 1 x 403 = 47416980
Therefore, the lowest common multiple of 740,222,795,444,403 is 47416980.
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.
740 x 222 x 795 x 444 x 403 = 23368984423200
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.
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
222 : 1, 2, 3, 6, 37, 74, 111, 222
795 : 1, 3, 5, 15, 53, 159, 265, 795
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,222,795,444,403, is 1.
Now, the common factors can be found like this.
740:2x 2x 5x 37
222:2x 3x 37
795:3x 5x 53
444:2x 2x 3x 37
403:13x 31
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 3x 3x 5x 37x 37 = 492840
Therefore, the value for common factors is 492840.
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 = 23368984423200/(1x492840)
LCM = 23368984423200/492840
LCM = 47416980
Thus, we can understand that the LCM of 740,222,795,444,403 is 47416980.
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FAQs on LCM of 740, 222, 795, 444, 403
1. What is the LCM of 740, 222, 795, 444, 403?
Answer: LCM of 740, 222, 795, 444, 403 is 47416980.
2. How to calculate the LCM of 740, 222, 795, 444, 403?
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 740, 222, 795, 444, 403.
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}.