Least Common Multiple of 345/432, 9770/8672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/432, 9770/8672 quickly i.e. 674130/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/432, 9770/8672 is 674130/16.

LCM(345/432, 9770/8672) = 674130/16

LCM of 345/432, 9770/8672

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 345/432,9770/8672

Given numbers are 345/432,9770/8672

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 345,9770

Least Common Multiple of Numerators i.e. LCM of 345,9770 is 674130.

GCF of Denominators means GCF of 432,8672 as per the given fractions.

GCF of 432,8672 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,9770

LCM of Fractions 345/432,9770/8672 is 674130/16

5 345, 9770
69, 1954

∴ So the LCM of the given numbers is 5 x 69 x 1954 = 674130

Least Common Multiple of 345,9770 with GCF Formula

Least Common Multiple of 345,9770 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 345,9770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,9770) = 5

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

GCF(345,9770) x common factors =5 x 1 = 5

LCM(345,9770) = ( 345 × 9770 ) / 5

LCM(345,9770) = 3370650 / 5

LCM(345,9770) = 674130


Lets's calculate GCF of 432,8672

2 432, 8672
2 216, 4336
2 108, 2168
2 54, 1084
27, 542

∴ 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 = 674130/16

Therefore the LCM of Fractions 345/432,9770/8672 is 674130/16

Greatest Common Factor of 432,8672 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,8672 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 8672

List of positive integer factors of 8672 that divides 8672 without a remainder.

1,2,4,8,16,32,271,542,1084,2168,4336,8672

Greatest Common Factor

We found the factors 432,8672 . The biggest common factor number is the GCF number.
So the greatest common factor 432,8672 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 345/432, 9770/8672

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 345/432, 9770/8672?

Answer: LCM of Numerators as per given numbers 345/432, 9770/8672 is

LCM of Numerators i.e. for 345,9770 is 674130

GCF of denominators i.e. for 432,8672 is 16.

Thus, LCM of Fractions is 674130/16.Finally, LCM of Fractions for 345/432, 9770/8672 is 674130/16.