Least Common Multiple of 1415/141, 9755/1929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1415/141, 9755/1929 quickly i.e. 2760665/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1415/141, 9755/1929 is 2760665/3.

LCM(1415/141, 9755/1929) = 2760665/3

LCM of 1415/141, 9755/1929

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 1415/141,9755/1929

Given numbers are 1415/141,9755/1929

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 1415,9755

Least Common Multiple of Numerators i.e. LCM of 1415,9755 is 2760665.

GCF of Denominators means GCF of 141,1929 as per the given fractions.

GCF of 141,1929 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1415,9755

LCM of Fractions 1415/141,9755/1929 is 2760665/3

5 1415, 9755
283, 1951

∴ So the LCM of the given numbers is 5 x 283 x 1951 = 2760665

Least Common Multiple of 1415,9755 with GCF Formula

Least Common Multiple of 1415,9755 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 1415,9755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1415,9755) = 5

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

GCF(1415,9755) x common factors =5 x 1 = 5

LCM(1415,9755) = ( 1415 × 9755 ) / 5

LCM(1415,9755) = 13803325 / 5

LCM(1415,9755) = 2760665


Lets's calculate GCF of 141,1929

3 141, 1929
47, 643

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2760665/3

Therefore the LCM of Fractions 1415/141,9755/1929 is 2760665/3

Greatest Common Factor of 141,1929 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,1929 By Matching Biggest Common Factor Method

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 1929

List of positive integer factors of 1929 that divides 1929 without a remainder.

1,3,643,1929

Greatest Common Factor

We found the factors 141,1929 . The biggest common factor number is the GCF number.
So the greatest common factor 141,1929 is 3.


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 1415/141, 9755/1929

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 1415/141, 9755/1929?

Answer: LCM of Numerators as per given numbers 1415/141, 9755/1929 is

LCM of Numerators i.e. for 1415,9755 is 2760665

GCF of denominators i.e. for 141,1929 is 3.

Thus, LCM of Fractions is 2760665/3.Finally, LCM of Fractions for 1415/141, 9755/1929 is 2760665/3.