Least Common Multiple of 49/264, 184/691, 372/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/264, 184/691, 372/504 quickly i.e. 838488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/264, 184/691, 372/504 is 838488.

LCM(49/264, 184/691, 372/504) = 838488

LCM of 49/264, 184/691, 372/504

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 49/264,184/691,372/504

Given numbers are 49/264,184/691,372/504

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 49,184,372

Least Common Multiple of Numerators i.e. LCM of 49,184,372 is 838488.

GCF of Denominators means GCF of 264,691,504 as per the given fractions.

GCF of 264,691,504 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,184,372

LCM of Fractions 49/264,184/691,372/504 is 838488

2 49, 184, 372
2 49, 92, 186
49, 46, 93

∴ So the LCM of the given numbers is 2 x 2 x 49 x 46 x 93 = 838488

Least Common Multiple of 49,184,372 with GCF Formula

Least Common Multiple of 49,184,372 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 49,184,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,184,372) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(49,184,372) x common factors =1 x 4 = 4

LCM(49,184,372) = ( 49 × 184 × 372 ) / 4

LCM(49,184,372) = 3353952 / 4

LCM(49,184,372) = 838488


Lets's calculate GCF of 264,691,504

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 838488/1

Therefore the LCM of Fractions 49/264,184/691,372/504 is 838488

Greatest Common Factor of 264,691,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,691,504 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 264,691,504 . The biggest common factor number is the GCF number.
So the greatest common factor 264,691,504 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 49/264, 184/691, 372/504

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 49/264, 184/691, 372/504?

Answer: LCM of Numerators as per given numbers 49/264, 184/691, 372/504 is

LCM of Numerators i.e. for 49,184,372 is 838488

GCF of denominators i.e. for 264,691,504 is 1.

Thus, LCM of Fractions is 838488.Finally, LCM of Fractions for 49/264, 184/691, 372/504 is 838488.