Given numbers are 970,107,221,749

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

The LCM of 970,107,221,749 is 160563130.

Find LCM of 970,107,221,749 with Prime Factorization

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

107 x 970 x 1 x 221 x 7 = 160563130

Therefore, the lowest common multiple of 970,107,221,749 is 160563130.

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.

970 x 107 x 221 x 749 = 17180254910

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.

970 : 1, 2, 5, 10, 97, 194, 485, 970

107 : 1, 107

221 : 1, 13, 17, 221

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,107,221,749, is 1.

Now, the common factors can be found like this.

970:2x 5x 97

107:107

221:13x 17

749:7x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

107 = 107

Therefore, the value for common factors is 107.

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 = 17180254910/(1x107)

LCM = 17180254910/107

LCM = 160563130

Thus, we can understand that the LCM of 970,107,221,749 is 160563130.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 316, 710, 833, 369
• LCM of 229, 199, 986, 874
• LCM of 548, 703, 884, 990
• LCM of 685, 588, 507, 673
• LCM of 577, 919, 204, 523

1. What is the LCM of 970, 107, 221, 749?

Answer: LCM of 970, 107, 221, 749 is 160563130.

2. How to calculate the LCM of 970, 107, 221, 749?

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 970, 107, 221, 749.

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}.