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LCM of 965, 974, 714, 364, 946

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 965, 974, 714, 364, 946 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 965, 974, 714, 364, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 965,974,714,364,946

Given numbers are 965,974,714,364,946

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 965,974,714,364,946 is 4126567705260.

Find LCM of 965,974,714,364,946 with Prime Factorization


2 965, 974, 714, 364, 946
7 965, 487, 357, 182, 473
965, 487, 51, 26, 473

Multiply the prime numbers at the bottom and the left side.

2 x 7 x 965 x 487 x 51 x 26 x 473 = 4126567705260

Therefore, the lowest common multiple of 965,974,714,364,946 is 4126567705260.

LCM Formula to Find Lowest Common Multiple of 965,974,714,364,946

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.

965 x 974 x 714 x 364 x 946 = 231087791494560

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.

965 : 1, 5, 193, 965

974 : 1, 2, 487, 974

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,974,714,364,946, is 1.

Now, the common factors can be found like this.

965:5x 193

974:2x 487

714:2x 3x 7x 17

364:2x 2x 7x 13

946:2x 11x 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 7 = 56

Therefore, the value for common factors is 56.

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 = 231087791494560/(1x56)

LCM = 231087791494560/56

LCM = 4126567705260

Thus, we can understand that the LCM of 965,974,714,364,946 is 4126567705260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 965, 974, 714, 364, 946

1. What is the LCM of 965, 974, 714, 364, 946?

Answer: LCM of 965, 974, 714, 364, 946 is 4126567705260.

2. How to calculate the LCM of 965, 974, 714, 364, 946?

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 965, 974, 714, 364, 946.

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}.