LCM of 749, 716, 655, 399, 358
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 716, 655, 399, 358 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 749, 716, 655, 399, 358. So, keep reading to learn more.
Given numbers are 749,716,655,399,358
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,716,655,399,358 is 20022163140.
Find LCM of 749,716,655,399,358 with Prime Factorization
| 2 | 749, 716, 655, 399, 358 |
| 7 | 749, 358, 655, 399, 179 |
| 179 | 107, 358, 655, 57, 179 |
| 107, 2, 655, 57, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 179 x 107 x 2 x 655 x 57 x 1 = 20022163140
Therefore, the lowest common multiple of 749,716,655,399,358 is 20022163140.
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.
749 x 716 x 655 x 399 x 358 = 50175540828840
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.
749 : 1, 7, 107, 749
716 : 1, 2, 4, 179, 358, 716
655 : 1, 5, 131, 655
399 : 1, 3, 7, 19, 21, 57, 133, 399
358 : 1, 2, 179, 358
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,716,655,399,358, is 1.
Now, the common factors can be found like this.
749:7x 107
716:2x 2x 179
655:5x 131
399:3x 7x 19
358:2x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 179 = 2506
Therefore, the value for common factors is 2506.
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 = 50175540828840/(1x2506)
LCM = 50175540828840/2506
LCM = 20022163140
Thus, we can understand that the LCM of 749,716,655,399,358 is 20022163140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 749, 716, 655, 399, 358
1. What is the LCM of 749, 716, 655, 399, 358?
Answer: LCM of 749, 716, 655, 399, 358 is 20022163140.
2. How to calculate the LCM of 749, 716, 655, 399, 358?
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 749, 716, 655, 399, 358.
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}.