Least Common Multiple of 7830/468, 3216/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7830/468, 3216/280 quickly i.e. 1049220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7830/468, 3216/280 is 1049220.

LCM(7830/468, 3216/280) = 1049220

LCM of 7830/468, 3216/280

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 7830/468,3216/280

Given numbers are 7830/468,3216/280

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 7830,3216

Least Common Multiple of Numerators i.e. LCM of 7830,3216 is 4196880.

GCF of Denominators means GCF of 468,280 as per the given fractions.

GCF of 468,280 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7830,3216

LCM of Fractions 7830/468,3216/280 is 1049220

2 7830, 3216
3 3915, 1608
1305, 536

∴ So the LCM of the given numbers is 2 x 3 x 1305 x 536 = 4196880

Least Common Multiple of 7830,3216 with GCF Formula

Least Common Multiple of 7830,3216 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 7830,3216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7830,3216) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(7830,3216) x common factors =6 x 1 = 6

LCM(7830,3216) = ( 7830 × 3216 ) / 6

LCM(7830,3216) = 25181280 / 6

LCM(7830,3216) = 4196880


Lets's calculate GCF of 468,280

2 468, 280
2 234, 140
117, 70

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4196880/4

Therefore the LCM of Fractions 7830/468,3216/280 is 1049220

Greatest Common Factor of 468,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,280 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 468,280 . The biggest common factor number is the GCF number.
So the greatest common factor 468,280 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 7830/468, 3216/280

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 7830/468, 3216/280?

Answer: LCM of Numerators as per given numbers 7830/468, 3216/280 is

LCM of Numerators i.e. for 7830,3216 is 4196880

GCF of denominators i.e. for 468,280 is 4.

Thus, LCM of Fractions is 1049220.Finally, LCM of Fractions for 7830/468, 3216/280 is 1049220.