LCM of 660, 638, 952, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 660, 638, 952, 894 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 660, 638, 952, 894. So, keep reading to learn more.
Given numbers are 660,638,952,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 660,638,952,894 is 678742680.
Find LCM of 660,638,952,894 with Prime Factorization
| 2 | 660, 638, 952, 894 |
| 2 | 330, 319, 476, 447 |
| 3 | 165, 319, 238, 447 |
| 11 | 55, 319, 238, 149 |
| 5, 29, 238, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 5 x 29 x 238 x 149 = 678742680
Therefore, the lowest common multiple of 660,638,952,894 is 678742680.
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.
660 x 638 x 952 x 894 = 358376135040
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.
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
638 : 1, 2, 11, 22, 29, 58, 319, 638
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
894 : 1, 2, 3, 6, 149, 298, 447, 894
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,638,952,894, is 2.
Now, the common factors can be found like this.
660:2x 2x 3x 5x 11
638:2x 11x 29
952:2x 2x 2x 7x 17
894:2x 3x 149
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 11 = 264
Therefore, the value for common factors is 264.
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 = 358376135040/(2x264)
LCM = 358376135040/528
LCM = 678742680
Thus, we can understand that the LCM of 660,638,952,894 is 678742680.
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FAQs on LCM of 660, 638, 952, 894
1. What is the LCM of 660, 638, 952, 894?
Answer: LCM of 660, 638, 952, 894 is 678742680.
2. How to calculate the LCM of 660, 638, 952, 894?
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 660, 638, 952, 894.
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}.