LCM of 429, 807, 118, 716, 276
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 807, 118, 716, 276 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 429, 807, 118, 716, 276. So, keep reading to learn more.
Given numbers are 429,807,118,716,276
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,807,118,716,276 is 112124996412.
Find LCM of 429,807,118,716,276 with Prime Factorization
| 2 | 429, 807, 118, 716, 276 |
| 2 | 429, 807, 59, 358, 138 |
| 3 | 429, 807, 59, 179, 69 |
| 143, 269, 59, 179, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 143 x 269 x 59 x 179 x 23 = 112124996412
Therefore, the lowest common multiple of 429,807,118,716,276 is 112124996412.
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.
429 x 807 x 118 x 716 x 276 = 8072999741664
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
807 : 1, 3, 269, 807
118 : 1, 2, 59, 118
716 : 1, 2, 4, 179, 358, 716
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,807,118,716,276, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
807:3x 269
118:2x 59
716:2x 2x 179
276:2x 2x 3x 23
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 3 = 72
Therefore, the value for common factors is 72.
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 = 8072999741664/(1x72)
LCM = 8072999741664/72
LCM = 112124996412
Thus, we can understand that the LCM of 429,807,118,716,276 is 112124996412.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 429, 807, 118, 716, 276
1. What is the LCM of 429, 807, 118, 716, 276?
Answer: LCM of 429, 807, 118, 716, 276 is 112124996412.
2. How to calculate the LCM of 429, 807, 118, 716, 276?
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 429, 807, 118, 716, 276.
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}.