Least Common Multiple of 7792/532, 3290/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7792/532, 3290/672 quickly i.e. 457780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7792/532, 3290/672 is 457780.

LCM(7792/532, 3290/672) = 457780

LCM of 7792/532, 3290/672

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 7792/532,3290/672

Given numbers are 7792/532,3290/672

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 7792,3290

Least Common Multiple of Numerators i.e. LCM of 7792,3290 is 12817840.

GCF of Denominators means GCF of 532,672 as per the given fractions.

GCF of 532,672 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7792,3290

LCM of Fractions 7792/532,3290/672 is 457780

2 7792, 3290
3896, 1645

∴ So the LCM of the given numbers is 2 x 3896 x 1645 = 12817840

Least Common Multiple of 7792,3290 with GCF Formula

Least Common Multiple of 7792,3290 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 7792,3290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7792,3290) = 2

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

GCF(7792,3290) x common factors =2 x 1 = 2

LCM(7792,3290) = ( 7792 × 3290 ) / 2

LCM(7792,3290) = 25635680 / 2

LCM(7792,3290) = 12817840


Lets's calculate GCF of 532,672

2 532, 672
2 266, 336
7 133, 168
19, 24

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12817840/28

Therefore the LCM of Fractions 7792/532,3290/672 is 457780

Greatest Common Factor of 532,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,672 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 532,672 . The biggest common factor number is the GCF number.
So the greatest common factor 532,672 is 28.


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 7792/532, 3290/672

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 7792/532, 3290/672?

Answer: LCM of Numerators as per given numbers 7792/532, 3290/672 is

LCM of Numerators i.e. for 7792,3290 is 12817840

GCF of denominators i.e. for 532,672 is 28.

Thus, LCM of Fractions is 457780.Finally, LCM of Fractions for 7792/532, 3290/672 is 457780.