LCM of 997, 594, 746, 373
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 997, 594, 746, 373 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 997, 594, 746, 373. So, keep reading to learn more.
Given numbers are 997,594,746,373
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 997,594,746,373 is 220897314.
Find LCM of 997,594,746,373 with Prime Factorization
| 2 | 997, 594, 746, 373 |
| 373 | 997, 297, 373, 373 |
| 997, 297, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 373 x 997 x 297 x 1 x 1 = 220897314
Therefore, the lowest common multiple of 997,594,746,373 is 220897314.
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.
997 x 594 x 746 x 373 = 164789396244
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.
997 : 1, 997
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
746 : 1, 2, 373, 746
373 : 1, 373
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,594,746,373, is 1.
Now, the common factors can be found like this.
997:997
594:2x 3x 3x 3x 11
746:2x 373
373:373
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 373 = 746
Therefore, the value for common factors is 746.
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 = 164789396244/(1x746)
LCM = 164789396244/746
LCM = 220897314
Thus, we can understand that the LCM of 997,594,746,373 is 220897314.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 997, 594, 746, 373
1. What is the LCM of 997, 594, 746, 373?
Answer: LCM of 997, 594, 746, 373 is 220897314.
2. How to calculate the LCM of 997, 594, 746, 373?
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 997, 594, 746, 373.
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}.