LCM of 596, 710, 894, 501, 532
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 710, 894, 501, 532 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 596, 710, 894, 501, 532. So, keep reading to learn more.
Given numbers are 596,710,894,501,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,710,894,501,532 is 14098210140.
Find LCM of 596,710,894,501,532 with Prime Factorization
| 2 | 596, 710, 894, 501, 532 |
| 2 | 298, 355, 447, 501, 266 |
| 3 | 149, 355, 447, 501, 133 |
| 149 | 149, 355, 149, 167, 133 |
| 1, 355, 1, 167, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 149 x 1 x 355 x 1 x 167 x 133 = 14098210140
Therefore, the lowest common multiple of 596,710,894,501,532 is 14098210140.
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.
596 x 710 x 894 x 501 x 532 = 100830398921280
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.
596 : 1, 2, 4, 149, 298, 596
710 : 1, 2, 5, 10, 71, 142, 355, 710
894 : 1, 2, 3, 6, 149, 298, 447, 894
501 : 1, 3, 167, 501
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,710,894,501,532, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
710:2x 5x 71
894:2x 3x 149
501:3x 167
532:2x 2x 7x 19
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 149 = 7152
Therefore, the value for common factors is 7152.
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 = 100830398921280/(1x7152)
LCM = 100830398921280/7152
LCM = 14098210140
Thus, we can understand that the LCM of 596,710,894,501,532 is 14098210140.
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FAQs on LCM of 596, 710, 894, 501, 532
1. What is the LCM of 596, 710, 894, 501, 532?
Answer: LCM of 596, 710, 894, 501, 532 is 14098210140.
2. How to calculate the LCM of 596, 710, 894, 501, 532?
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 596, 710, 894, 501, 532.
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}.