LCM of 597, 298, 692, 352, 739
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 597, 298, 692, 352, 739 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 597, 298, 692, 352, 739. So, keep reading to learn more.
Given numbers are 597,298,692,352,739
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 597,298,692,352,739 is 4003075715232.
Find LCM of 597,298,692,352,739 with Prime Factorization
| 2 | 597, 298, 692, 352, 739 |
| 2 | 597, 149, 346, 176, 739 |
| 597, 149, 173, 88, 739 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 597 x 149 x 173 x 88 x 739 = 4003075715232
Therefore, the lowest common multiple of 597,298,692,352,739 is 4003075715232.
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.
597 x 298 x 692 x 352 x 739 = 32024605721856
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.
597 : 1, 3, 199, 597
298 : 1, 2, 149, 298
692 : 1, 2, 4, 173, 346, 692
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
739 : 1, 739
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,298,692,352,739, is 1.
Now, the common factors can be found like this.
597:3x 199
298:2x 149
692:2x 2x 173
352:2x 2x 2x 2x 2x 11
739:739
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 2 = 8
Therefore, the value for common factors is 8.
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 = 32024605721856/(1x8)
LCM = 32024605721856/8
LCM = 4003075715232
Thus, we can understand that the LCM of 597,298,692,352,739 is 4003075715232.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 597, 298, 692, 352, 739
1. What is the LCM of 597, 298, 692, 352, 739?
Answer: LCM of 597, 298, 692, 352, 739 is 4003075715232.
2. How to calculate the LCM of 597, 298, 692, 352, 739?
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 597, 298, 692, 352, 739.
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}.