LCM of 746, 312, 975, 841, 802
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 312, 975, 841, 802 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 746, 312, 975, 841, 802. So, keep reading to learn more.
Given numbers are 746,312,975,841,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,312,975,841,802 is 981168965400.
Find LCM of 746,312,975,841,802 with Prime Factorization
| 2 | 746, 312, 975, 841, 802 |
| 3 | 373, 156, 975, 841, 401 |
| 13 | 373, 52, 325, 841, 401 |
| 373, 4, 25, 841, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 373 x 4 x 25 x 841 x 401 = 981168965400
Therefore, the lowest common multiple of 746,312,975,841,802 is 981168965400.
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.
746 x 312 x 975 x 841 x 802 = 153062358602400
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.
746 : 1, 2, 373, 746
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
841 : 1, 29, 841
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,312,975,841,802, is 1.
Now, the common factors can be found like this.
746:2x 373
312:2x 2x 2x 3x 13
975:3x 5x 5x 13
841:29x 29
802:2x 401
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 153062358602400/(1x156)
LCM = 153062358602400/156
LCM = 981168965400
Thus, we can understand that the LCM of 746,312,975,841,802 is 981168965400.
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FAQs on LCM of 746, 312, 975, 841, 802
1. What is the LCM of 746, 312, 975, 841, 802?
Answer: LCM of 746, 312, 975, 841, 802 is 981168965400.
2. How to calculate the LCM of 746, 312, 975, 841, 802?
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 746, 312, 975, 841, 802.
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}.