LCM of 602, 572, 894, 297, 716
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 602, 572, 894, 297, 716 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 602, 572, 894, 297, 716. So, keep reading to learn more.
Given numbers are 602,572,894,297,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 602,572,894,297,716 is 123983984124.
Find LCM of 602,572,894,297,716 with Prime Factorization
| 2 | 602, 572, 894, 297, 716 |
| 2 | 301, 286, 447, 297, 358 |
| 3 | 301, 143, 447, 297, 179 |
| 11 | 301, 143, 149, 99, 179 |
| 301, 13, 149, 9, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 301 x 13 x 149 x 9 x 179 = 123983984124
Therefore, the lowest common multiple of 602,572,894,297,716 is 123983984124.
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.
602 x 572 x 894 x 297 x 716 = 65463543617472
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.
602 : 1, 2, 7, 14, 43, 86, 301, 602
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
894 : 1, 2, 3, 6, 149, 298, 447, 894
297 : 1, 3, 9, 11, 27, 33, 99, 297
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 602,572,894,297,716, is 1.
Now, the common factors can be found like this.
602:2x 7x 43
572:2x 2x 11x 13
894:2x 3x 149
297:3x 3x 3x 11
716:2x 2x 179
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 2x 2x 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 65463543617472/(1x528)
LCM = 65463543617472/528
LCM = 123983984124
Thus, we can understand that the LCM of 602,572,894,297,716 is 123983984124.
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FAQs on LCM of 602, 572, 894, 297, 716
1. What is the LCM of 602, 572, 894, 297, 716?
Answer: LCM of 602, 572, 894, 297, 716 is 123983984124.
2. How to calculate the LCM of 602, 572, 894, 297, 716?
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 602, 572, 894, 297, 716.
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}.