LCM of 974, 458, 303, 547
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 974, 458, 303, 547 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 974, 458, 303, 547. So, keep reading to learn more.
Given numbers are 974,458,303,547
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,458,303,547 is 36967867086.
Find LCM of 974,458,303,547 with Prime Factorization
| 2 | 974, 458, 303, 547 |
| 487, 229, 303, 547 |
Multiply the prime numbers at the bottom and the left side.
2 x 487 x 229 x 303 x 547 = 36967867086
Therefore, the lowest common multiple of 974,458,303,547 is 36967867086.
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.
974 x 458 x 303 x 547 = 73935734172
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.
974 : 1, 2, 487, 974
458 : 1, 2, 229, 458
303 : 1, 3, 101, 303
547 : 1, 547
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,458,303,547, is 1.
Now, the common factors can be found like this.
974:2x 487
458:2x 229
303:3x 101
547:547
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 73935734172/(1x2)
LCM = 73935734172/2
LCM = 36967867086
Thus, we can understand that the LCM of 974,458,303,547 is 36967867086.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 974, 458, 303, 547
1. What is the LCM of 974, 458, 303, 547?
Answer: LCM of 974, 458, 303, 547 is 36967867086.
2. How to calculate the LCM of 974, 458, 303, 547?
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 974, 458, 303, 547.
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}.