Least Common Multiple of 350 and 354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 350 and 354 the smallest integer that is 61950 that is divisible by both numbers.

Least Common Multiple (LCM) of 350 and 354 is 61950.

LCM(350,354) = 61950

LCM of 350 and 354

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 350 and 354

LCM of 350 and 354 is 61950

Least common multiple can be found by multiplying the highest exponent prime factors of 350 and 354. First we will calculate the prime factors of 350 and 354.

Prime Factorization of 350


2 350
5 175
5 35
7 7
1

Prime factors of 350 are 2, 5,7. Prime factorization of 350 in exponential form is:

350 = 21×52×71

Prime Factorization of 354


2 354
3 177
59 59
1

Prime factors of 354 are 2, 3,59. Prime factorization of 354 in exponential form is:

354 = 21×31×591

Now multiplying the highest exponent prime factors to calculate the LCM of 350 and 354.

LCM(350,354) = 21×31×52×71×591
LCM(350,354) = 61950

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Least Common Multiple of 350 and 354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 350 and 354, than apply into the LCM equation.

GCF(350,354) = 2
LCM(350,354) = ( 350 × 354) / 2
LCM(350,354) = 123900 / 2
LCM(350,354) = 61950

Properties of LCM 350 and 354

(i) The LCM of 354 and 350 is associative

LCM of 350 and 354 = LCM of 354 and 350

Related Least Common Multiples of 350

Related Least Common Multiples of 354

Frequently Asked Questions on LCM of 350 and 354

1. What is the LCM of 350 and 354?

Answer: LCM of 350 and 354 is 61950.

2. What are the Factors of 350?

Answer: Factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350. There are 12 integers that are factors of 350. The greatest factor of 350 is 350.

3. What are the Factors of 354?

Answer: Factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354. There are 8 integers that are factors of 354. The greatest factor of 354 is 354.

4. How to Find the LCM of 350 and 354?

Answer:

Least Common Multiple of 350 and 354 = 61950

Step 1: Find the prime factorization of 350

350 = 2 x 5 x 5 x 7

Step 2: Find the prime factorization of 354

354 = 2 x 3 x 59

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 61950 = 2 x 3 x 5 x 5 x 7 x 59

Step 4: Therefore, the least common multiple of 350 and 354 is 61950.