Least Common Multiple of 49/296, 42/670, 541/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/296, 42/670, 541/497 quickly i.e. 159054 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/296, 42/670, 541/497 is 159054.

LCM(49/296, 42/670, 541/497) = 159054

LCM of 49/296, 42/670, 541/497

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 49/296,42/670,541/497

Given numbers are 49/296,42/670,541/497

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 49,42,541

Least Common Multiple of Numerators i.e. LCM of 49,42,541 is 159054.

GCF of Denominators means GCF of 296,670,497 as per the given fractions.

GCF of 296,670,497 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,42,541

LCM of Fractions 49/296,42/670,541/497 is 159054

7 49, 42, 541
7, 6, 541

∴ So the LCM of the given numbers is 7 x 7 x 6 x 541 = 159054

Least Common Multiple of 49,42,541 with GCF Formula

Least Common Multiple of 49,42,541 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 49,42,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,42,541) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(49,42,541) x common factors =1 x 7 = 7

LCM(49,42,541) = ( 49 × 42 × 541 ) / 7

LCM(49,42,541) = 1113378 / 7

LCM(49,42,541) = 159054


Lets's calculate GCF of 296,670,497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159054/1

Therefore the LCM of Fractions 49/296,42/670,541/497 is 159054

Greatest Common Factor of 296,670,497 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,670,497 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Greatest Common Factor

We found the factors 296,670,497 . The biggest common factor number is the GCF number.
So the greatest common factor 296,670,497 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 49/296, 42/670, 541/497

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 49/296, 42/670, 541/497?

Answer: LCM of Numerators as per given numbers 49/296, 42/670, 541/497 is

LCM of Numerators i.e. for 49,42,541 is 159054

GCF of denominators i.e. for 296,670,497 is 1.

Thus, LCM of Fractions is 159054.Finally, LCM of Fractions for 49/296, 42/670, 541/497 is 159054.