LCM of 472, 858, 564, 893, 371
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 472, 858, 564, 893, 371 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 472, 858, 564, 893, 371. So, keep reading to learn more.
Given numbers are 472,858,564,893,371
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 472,858,564,893,371 is 67084881864.
Find LCM of 472,858,564,893,371 with Prime Factorization
| 2 | 472, 858, 564, 893, 371 |
| 2 | 236, 429, 282, 893, 371 |
| 3 | 118, 429, 141, 893, 371 |
| 47 | 118, 143, 47, 893, 371 |
| 118, 143, 1, 19, 371 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 118 x 143 x 1 x 19 x 371 = 67084881864
Therefore, the lowest common multiple of 472,858,564,893,371 is 67084881864.
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.
472 x 858 x 564 x 893 x 371 = 75671746742592
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.
472 : 1, 2, 4, 8, 59, 118, 236, 472
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
893 : 1, 19, 47, 893
371 : 1, 7, 53, 371
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,858,564,893,371, is 1.
Now, the common factors can be found like this.
472:2x 2x 2x 59
858:2x 3x 11x 13
564:2x 2x 3x 47
893:19x 47
371:7x 53
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 3x 47 = 1128
Therefore, the value for common factors is 1128.
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 = 75671746742592/(1x1128)
LCM = 75671746742592/1128
LCM = 67084881864
Thus, we can understand that the LCM of 472,858,564,893,371 is 67084881864.
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FAQs on LCM of 472, 858, 564, 893, 371
1. What is the LCM of 472, 858, 564, 893, 371?
Answer: LCM of 472, 858, 564, 893, 371 is 67084881864.
2. How to calculate the LCM of 472, 858, 564, 893, 371?
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 472, 858, 564, 893, 371.
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}.