LCM of 735, 338, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 338, 840 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, 338, 840. So, keep reading to learn more.
Given numbers are 735,338,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,338,840 is 993720.
Find LCM of 735,338,840 with Prime Factorization
| 2 | 735, 338, 840 |
| 3 | 735, 169, 420 |
| 5 | 245, 169, 140 |
| 7 | 49, 169, 28 |
| 7, 169, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 7 x 169 x 4 = 993720
Therefore, the lowest common multiple of 735,338,840 is 993720.
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 338 x 840 = 208681200
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
338 : 1, 2, 13, 26, 169, 338
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,338,840, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
338:2x 13x 13
840:2x 2x 2x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 208681200/(1x210)
LCM = 208681200/210
LCM = 993720
Thus, we can understand that the LCM of 735,338,840 is 993720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 735, 338, 840
1. What is the LCM of 735, 338, 840?
Answer: LCM of 735, 338, 840 is 993720.
2. How to calculate the LCM of 735, 338, 840?
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, 338, 840.
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}.