LCM for 5 and 48

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 5 and 48?

Answer

LCM of 5 and 48 is 240

(Two hundred forty)

Finding LCM for 5 and 48 using GCF of these numbers

The first method to find LCM for numbers 5 and 48 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 5 and 48 is 1, so

LCM = (5 × 48) ÷ 1

LCM = 240 ÷ 1

LCM = 240

Finding LCM for 5 and 48 by Listing Multiples

The second method to find LCM for numbers 5 and 48 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250

Multiples of 48: 48, 96, 144, 192, 240, 288, 336

So the LCM for 5 and 48 is 240

Finding LCM for 5 and 48 by Prime Factorization

Another method to find LCM for numbers 5 and 48 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 5: 5 (exponent form: 51)

All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)

51 × 24 × 31 = 240

Related Calculations

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 5 and 48? (The answer is: 240). Select the first number (e.g. '5') and the second number (e.g. '48'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
51470
51515
51680
51785
51890
51995
52020
521105
522110
524120
52525
526130
527135
53030
531155
532160
53535
539195
54040
542210
544220
54545
546230
548240
55050
551255
55555
558290
559295
56060

FAQ

What's the Least Common Multiple (LCM) of 5 and 48?

LCM of 5 and 48 is 240

How to find the LCM of 5 and 48 using prime factorization?

To find the LCM of 5 and 48, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 240.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 5 and 48: LCM = 240, GCF = 1.

See Also