LCM of 298, 572, 783, 627, 501
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 572, 783, 627, 501 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 298, 572, 783, 627, 501. So, keep reading to learn more.
Given numbers are 298,572,783,627,501
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,572,783,627,501 is 211745471652.
Find LCM of 298,572,783,627,501 with Prime Factorization
| 2 | 298, 572, 783, 627, 501 |
| 3 | 149, 286, 783, 627, 501 |
| 11 | 149, 286, 261, 209, 167 |
| 149, 26, 261, 19, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 149 x 26 x 261 x 19 x 167 = 211745471652
Therefore, the lowest common multiple of 298,572,783,627,501 is 211745471652.
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.
298 x 572 x 783 x 627 x 501 = 41925603387096
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.
298 : 1, 2, 149, 298
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
783 : 1, 3, 9, 27, 29, 87, 261, 783
627 : 1, 3, 11, 19, 33, 57, 209, 627
501 : 1, 3, 167, 501
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,572,783,627,501, is 1.
Now, the common factors can be found like this.
298:2x 149
572:2x 2x 11x 13
783:3x 3x 3x 29
627:3x 11x 19
501:3x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 41925603387096/(1x198)
LCM = 41925603387096/198
LCM = 211745471652
Thus, we can understand that the LCM of 298,572,783,627,501 is 211745471652.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 298, 572, 783, 627, 501
1. What is the LCM of 298, 572, 783, 627, 501?
Answer: LCM of 298, 572, 783, 627, 501 is 211745471652.
2. How to calculate the LCM of 298, 572, 783, 627, 501?
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 298, 572, 783, 627, 501.
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}.