LCM for 70 and 480

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 70 and 480?

Answer

LCM of 70 and 480 is 3,360

(Three thousand, three hundred sixty)

Finding LCM for 70 and 480 using GCF of these numbers

The first method to find LCM for numbers 70 and 480 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 70 and 480 is 10, so

LCM = (70 × 480) ÷ 10

LCM = 33600 ÷ 10

LCM = 3360

Finding LCM for 70 and 480 by Listing Multiples

The second method to find LCM for numbers 70 and 480 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 70: 70, 140, 210, 280, 350, 420, 490, 560, 630, 700, 770, 840, 910, 980, 1050, 1120, 1190, 1260, 1330, 1400, 1470, 1540, 1610, 1680, 1750, 1820, 1890, 1960, 2030, 2100, 2170, 2240, 2310, 2380, 2450, 2520, 2590, 2660, 2730, 2800, 2870, 2940, 3010, 3080, 3150, 3220, 3290, 3360, 3430, 3500

Multiples of 480: 480, 960, 1440, 1920, 2400, 2880, 3360, 3840, 4320

So the LCM for 70 and 480 is 3360

Finding LCM for 70 and 480 by Prime Factorization

Another method to find LCM for numbers 70 and 480 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 70: 2, 5, 7 (exponent form: 21, 51, 71)

All Prime Factors of 480: 2, 2, 2, 2, 2, 3, 5 (exponent form: 25, 31, 51)

25 × 51 × 71 × 31 = 3360

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 70 and 480? (The answer is: 3360). Select the first number (e.g. '70') and the second number (e.g. '480'). 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
554805280
564803360
574809120
5848013920
5948028320
60480480
6148029280
6248014880
6348010080
64480960
654806240
664805280
6748032160
684808160
6948011040
704803360
7148034080
724801440
7348035040
7448017760
754802400
764809120
7748036960
784806240
7948037920
80480480
8148012960
8248019680
8348039840
844803360

FAQ

What's the Least Common Multiple (LCM) of 70 and 480?

LCM of 70 and 480 is 3,360

How to find the LCM of 70 and 480 using prime factorization?

To find the LCM of 70 and 480, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,360.

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 70 and 480: LCM = 3,360, GCF = 10.

See Also