Least Common Multiple of 974 and 978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 974 and 978 the smallest integer that is 476286 that is divisible by both numbers.

Least Common Multiple (LCM) of 974 and 978 is 476286.

LCM(974,978) = 476286

LCM of 974 and 978

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

LCM of:
and

Least Common Multiple of 974 and 978

LCM of 974 and 978 is 476286

Least common multiple can be found by multiplying the highest exponent prime factors of 974 and 978. First we will calculate the prime factors of 974 and 978.

Prime Factorization of 974


2 974
487 487
1

Prime factors of 974 are 2,487. Prime factorization of 974 in exponential form is:

974 = 21×4871

Prime Factorization of 978


2 978
3 489
163 163
1

Prime factors of 978 are 2, 3,163. Prime factorization of 978 in exponential form is:

978 = 21×31×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 974 and 978.

LCM(974,978) = 21×31×1631×4871
LCM(974,978) = 476286

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Least Common Multiple of 974 and 978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 974 and 978, than apply into the LCM equation.

GCF(974,978) = 2
LCM(974,978) = ( 974 × 978) / 2
LCM(974,978) = 952572 / 2
LCM(974,978) = 476286

Properties of LCM 974 and 978

(i) The LCM of 978 and 974 is associative

LCM of 974 and 978 = LCM of 978 and 974

Related Least Common Multiples of 974

Related Least Common Multiples of 978

Frequently Asked Questions on LCM of 974 and 978

1. What is the LCM of 974 and 978?

Answer: LCM of 974 and 978 is 476286.

2. What are the Factors of 974?

Answer: Factors of 974 are 1, 2, 487, 974. There are 4 integers that are factors of 974. The greatest factor of 974 is 974.

3. What are the Factors of 978?

Answer: Factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978. There are 8 integers that are factors of 978. The greatest factor of 978 is 978.

4. How to Find the LCM of 974 and 978?

Answer:

Least Common Multiple of 974 and 978 = 476286

Step 1: Find the prime factorization of 974

974 = 2 x 487

Step 2: Find the prime factorization of 978

978 = 2 x 3 x 163

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

LCM = 476286 = 2 x 3 x 163 x 487

Step 4: Therefore, the least common multiple of 974 and 978 is 476286.