LCM of 735, 802, 392, 626
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 802, 392, 626 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 735, 802, 392, 626. So, keep reading to learn more.
Given numbers are 735,802,392,626
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,802,392,626 is 738016440.
Find LCM of 735,802,392,626 with Prime Factorization
| 2 | 735, 802, 392, 626 |
| 7 | 735, 401, 196, 313 |
| 7 | 105, 401, 28, 313 |
| 15, 401, 4, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 7 x 15 x 401 x 4 x 313 = 738016440
Therefore, the lowest common multiple of 735,802,392,626 is 738016440.
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.
735 x 802 x 392 x 626 = 144651222240
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
802 : 1, 2, 401, 802
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
626 : 1, 2, 313, 626
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,802,392,626, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
802:2x 401
392:2x 2x 2x 7x 7
626:2x 313
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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 144651222240/(1x196)
LCM = 144651222240/196
LCM = 738016440
Thus, we can understand that the LCM of 735,802,392,626 is 738016440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 735, 802, 392, 626
1. What is the LCM of 735, 802, 392, 626?
Answer: LCM of 735, 802, 392, 626 is 738016440.
2. How to calculate the LCM of 735, 802, 392, 626?
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 735, 802, 392, 626.
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}.