Least Common Multiple of 429/56, 181/9730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 429/56, 181/9730 quickly i.e. 77649/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 429/56, 181/9730 is 77649/14.

LCM(429/56, 181/9730) = 77649/14

LCM of 429/56, 181/9730

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 429/56,181/9730

Given numbers are 429/56,181/9730

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 429,181

Least Common Multiple of Numerators i.e. LCM of 429,181 is 77649.

GCF of Denominators means GCF of 56,9730 as per the given fractions.

GCF of 56,9730 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 429,181

LCM of Fractions 429/56,181/9730 is 77649/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 77649

Least Common Multiple of 429,181 with GCF Formula

Least Common Multiple of 429,181 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 429,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,181) = 1

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

GCF(429,181) x common factors =1 x 1 = 1

LCM(429,181) = ( 429 × 181 ) / 1

LCM(429,181) = 77649 / 1

LCM(429,181) = 77649


Lets's calculate GCF of 56,9730

2 56, 9730
7 28, 4865
4, 695

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77649/14

Therefore the LCM of Fractions 429/56,181/9730 is 77649/14

Greatest Common Factor of 56,9730 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,9730 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 9730

List of positive integer factors of 9730 that divides 9730 without a remainder.

1,2,5,7,10,14,35,70,139,278,695,973,1390,1946,4865,9730

Greatest Common Factor

We found the factors 56,9730 . The biggest common factor number is the GCF number.
So the greatest common factor 56,9730 is 14.


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 429/56, 181/9730

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 429/56, 181/9730?

Answer: LCM of Numerators as per given numbers 429/56, 181/9730 is

LCM of Numerators i.e. for 429,181 is 77649

GCF of denominators i.e. for 56,9730 is 14.

Thus, LCM of Fractions is 77649/14.Finally, LCM of Fractions for 429/56, 181/9730 is 77649/14.