LCM of 140, 336, 210, 365, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 140, 336, 210, 365, 688 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 140, 336, 210, 365, 688. So, keep reading to learn more.
Given numbers are 140,336,210,365,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,336,210,365,688 is 5273520.
Find LCM of 140,336,210,365,688 with Prime Factorization
| 2 | 140, 336, 210, 365, 688 |
| 2 | 70, 168, 105, 365, 344 |
| 2 | 35, 84, 105, 365, 172 |
| 2 | 35, 42, 105, 365, 86 |
| 3 | 35, 21, 105, 365, 43 |
| 5 | 35, 7, 35, 365, 43 |
| 7 | 7, 7, 7, 73, 43 |
| 1, 1, 1, 73, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 7 x 1 x 1 x 1 x 73 x 43 = 5273520
Therefore, the lowest common multiple of 140,336,210,365,688 is 5273520.
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.
140 x 336 x 210 x 365 x 688 = 2480663808000
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.
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
365 : 1, 5, 73, 365
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,336,210,365,688, is 1.
Now, the common factors can be found like this.
140:2x 2x 5x 7
336:2x 2x 2x 2x 3x 7
210:2x 3x 5x 7
365:5x 73
688:2x 2x 2x 2x 43
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 2x 2x 2x 2x 3x 5x 5x 7x 7 = 470400
Therefore, the value for common factors is 470400.
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 = 2480663808000/(1x470400)
LCM = 2480663808000/470400
LCM = 5273520
Thus, we can understand that the LCM of 140,336,210,365,688 is 5273520.
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FAQs on LCM of 140, 336, 210, 365, 688
1. What is the LCM of 140, 336, 210, 365, 688?
Answer: LCM of 140, 336, 210, 365, 688 is 5273520.
2. How to calculate the LCM of 140, 336, 210, 365, 688?
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 140, 336, 210, 365, 688.
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}.