Least Common Multiple of 1955/428, 7457/2909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1955/428, 7457/2909 quickly i.e. 14578435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1955/428, 7457/2909 is 14578435.

LCM(1955/428, 7457/2909) = 14578435

LCM of 1955/428, 7457/2909

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 1955/428,7457/2909

Given numbers are 1955/428,7457/2909

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 1955,7457

Least Common Multiple of Numerators i.e. LCM of 1955,7457 is 14578435.

GCF of Denominators means GCF of 428,2909 as per the given fractions.

GCF of 428,2909 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1955,7457

LCM of Fractions 1955/428,7457/2909 is 14578435

Given numbers has no common factors except 1. So, there LCM is their product i.e 14578435

Least Common Multiple of 1955,7457 with GCF Formula

Least Common Multiple of 1955,7457 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 1955,7457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1955,7457) = 1

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

GCF(1955,7457) x common factors =1 x 1 = 1

LCM(1955,7457) = ( 1955 × 7457 ) / 1

LCM(1955,7457) = 14578435 / 1

LCM(1955,7457) = 14578435


Lets's calculate GCF of 428,2909

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14578435/1

Therefore the LCM of Fractions 1955/428,7457/2909 is 14578435

Greatest Common Factor of 428,2909 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,2909 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 2909

List of positive integer factors of 2909 that divides 2909 without a remainder.

1,2909

Greatest Common Factor

We found the factors 428,2909 . The biggest common factor number is the GCF number.
So the greatest common factor 428,2909 is 1.


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 1955/428, 7457/2909

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 1955/428, 7457/2909?

Answer: LCM of Numerators as per given numbers 1955/428, 7457/2909 is

LCM of Numerators i.e. for 1955,7457 is 14578435

GCF of denominators i.e. for 428,2909 is 1.

Thus, LCM of Fractions is 14578435.Finally, LCM of Fractions for 1955/428, 7457/2909 is 14578435.