LCM of 749, 346, 887, 692, 458
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 346, 887, 692, 458 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, 346, 887, 692, 458. So, keep reading to learn more.
Given numbers are 749,346,887,692,458
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,346,887,692,458 is 105280275884.
Find LCM of 749,346,887,692,458 with Prime Factorization
| 2 | 749, 346, 887, 692, 458 |
| 173 | 749, 173, 887, 346, 229 |
| 749, 1, 887, 2, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 173 x 749 x 1 x 887 x 2 x 229 = 105280275884
Therefore, the lowest common multiple of 749,346,887,692,458 is 105280275884.
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 346 x 887 x 692 x 458 = 72853950911728
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
346 : 1, 2, 173, 346
887 : 1, 887
692 : 1, 2, 4, 173, 346, 692
458 : 1, 2, 229, 458
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,346,887,692,458, is 1.
Now, the common factors can be found like this.
749:7x 107
346:2x 173
887:887
692:2x 2x 173
458:2x 229
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 173 = 692
Therefore, the value for common factors is 692.
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 = 72853950911728/(1x692)
LCM = 72853950911728/692
LCM = 105280275884
Thus, we can understand that the LCM of 749,346,887,692,458 is 105280275884.
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FAQs on LCM of 749, 346, 887, 692, 458
1. What is the LCM of 749, 346, 887, 692, 458?
Answer: LCM of 749, 346, 887, 692, 458 is 105280275884.
2. How to calculate the LCM of 749, 346, 887, 692, 458?
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, 346, 887, 692, 458.
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}.