LCM for 10 and 48

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 10 and 48?

Answer

LCM of 10 and 48 is 240

(Two hundred forty)

Finding LCM for 10 and 48 using GCF of these numbers

The first method to find LCM for numbers 10 and 48 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 48 is 2, so

LCM = (10 × 48) ÷ 2

LCM = 480 ÷ 2

LCM = 240

Finding LCM for 10 and 48 by Listing Multiples

The second method to find LCM for numbers 10 and 48 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260

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

So the LCM for 10 and 48 is 240

Finding LCM for 10 and 48 by Prime Factorization

Another method to find LCM for numbers 10 and 48 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 10: 2, 5 (exponent form: 21, 51)

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

24 × 51 × 31 = 240

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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 10 and 48? (The answer is: 240). Select the first number (e.g. '10') 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
14848
24848
34848
44848
548240
64848
748336
84848
948144
1048240
1148528
124848
1348624
1448336
1548240
164848
1748816
1848144
1948912
2048240
2148336
2248528
23481104
244848
25481200
2648624
2748432
2848336
29481392
3048240

FAQ

What's the Least Common Multiple (LCM) of 10 and 48?

LCM of 10 and 48 is 240

How to find the LCM of 10 and 48 using prime factorization?

To find the LCM of 10 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 10 and 48: LCM = 240, GCF = 2.

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