LCM of 740, 297, 407, 253, 730
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 740, 297, 407, 253, 730 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, 297, 407, 253, 730. So, keep reading to learn more.
Given numbers are 740,297,407,253,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 740,297,407,253,730 is 369010620.
Find LCM of 740,297,407,253,730 with Prime Factorization
| 2 | 740, 297, 407, 253, 730 |
| 5 | 370, 297, 407, 253, 365 |
| 11 | 74, 297, 407, 253, 73 |
| 37 | 74, 27, 37, 23, 73 |
| 2, 27, 1, 23, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 37 x 2 x 27 x 1 x 23 x 73 = 369010620
Therefore, the lowest common multiple of 740,297,407,253,730 is 369010620.
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 297 x 407 x 253 x 730 = 16520605457400
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
297 : 1, 3, 9, 11, 27, 33, 99, 297
407 : 1, 11, 37, 407
253 : 1, 11, 23, 253
730 : 1, 2, 5, 10, 73, 146, 365, 730
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,297,407,253,730, is 1.
Now, the common factors can be found like this.
740:2x 2x 5x 37
297:3x 3x 3x 11
407:11x 37
253:11x 23
730:2x 5x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 11x 37 = 44770
Therefore, the value for common factors is 44770.
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 = 16520605457400/(1x44770)
LCM = 16520605457400/44770
LCM = 369010620
Thus, we can understand that the LCM of 740,297,407,253,730 is 369010620.
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FAQs on LCM of 740, 297, 407, 253, 730
1. What is the LCM of 740, 297, 407, 253, 730?
Answer: LCM of 740, 297, 407, 253, 730 is 369010620.
2. How to calculate the LCM of 740, 297, 407, 253, 730?
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, 297, 407, 253, 730.
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}.