Least Common Multiple of 3552/512, 1830/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3552/512, 1830/784 quickly i.e. 67710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3552/512, 1830/784 is 67710.

LCM(3552/512, 1830/784) = 67710

LCM of 3552/512, 1830/784

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 3552/512,1830/784

Given numbers are 3552/512,1830/784

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 3552,1830

Least Common Multiple of Numerators i.e. LCM of 3552,1830 is 1083360.

GCF of Denominators means GCF of 512,784 as per the given fractions.

GCF of 512,784 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3552,1830

LCM of Fractions 3552/512,1830/784 is 67710

2 3552, 1830
3 1776, 915
592, 305

∴ So the LCM of the given numbers is 2 x 3 x 592 x 305 = 1083360

Least Common Multiple of 3552,1830 with GCF Formula

Least Common Multiple of 3552,1830 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 3552,1830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3552,1830) = 6

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

GCF(3552,1830) x common factors =6 x 1 = 6

LCM(3552,1830) = ( 3552 × 1830 ) / 6

LCM(3552,1830) = 6500160 / 6

LCM(3552,1830) = 1083360


Lets's calculate GCF of 512,784

2 512, 784
2 256, 392
2 128, 196
2 64, 98
32, 49

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1083360/16

Therefore the LCM of Fractions 3552/512,1830/784 is 67710

Greatest Common Factor of 512,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,784 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 512,784 . The biggest common factor number is the GCF number.
So the greatest common factor 512,784 is 16.


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 3552/512, 1830/784

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 3552/512, 1830/784?

Answer: LCM of Numerators as per given numbers 3552/512, 1830/784 is

LCM of Numerators i.e. for 3552,1830 is 1083360

GCF of denominators i.e. for 512,784 is 16.

Thus, LCM of Fractions is 67710.Finally, LCM of Fractions for 3552/512, 1830/784 is 67710.