Least Common Multiple of 649/452, 429/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 649/452, 429/941 quickly i.e. 25311 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 649/452, 429/941 is 25311.

LCM(649/452, 429/941) = 25311

LCM of 649/452, 429/941

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 649/452,429/941

Given numbers are 649/452,429/941

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 649,429

Least Common Multiple of Numerators i.e. LCM of 649,429 is 25311.

GCF of Denominators means GCF of 452,941 as per the given fractions.

GCF of 452,941 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 649,429

LCM of Fractions 649/452,429/941 is 25311

11 649, 429
59, 39

∴ So the LCM of the given numbers is 11 x 59 x 39 = 25311

Least Common Multiple of 649,429 with GCF Formula

Least Common Multiple of 649,429 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 649,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,429) = 11

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

GCF(649,429) x common factors =11 x 1 = 11

LCM(649,429) = ( 649 × 429 ) / 11

LCM(649,429) = 278421 / 11

LCM(649,429) = 25311


Lets's calculate GCF of 452,941

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25311/1

Therefore the LCM of Fractions 649/452,429/941 is 25311

Greatest Common Factor of 452,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,941 By Matching Biggest Common Factor Method

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Greatest Common Factor

We found the factors 452,941 . The biggest common factor number is the GCF number.
So the greatest common factor 452,941 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 649/452, 429/941

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 649/452, 429/941?

Answer: LCM of Numerators as per given numbers 649/452, 429/941 is

LCM of Numerators i.e. for 649,429 is 25311

GCF of denominators i.e. for 452,941 is 1.

Thus, LCM of Fractions is 25311.Finally, LCM of Fractions for 649/452, 429/941 is 25311.