Least Common Multiple of 1504/264, 7177/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1504/264, 7177/528 quickly i.e. 10794208/264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1504/264, 7177/528 is 10794208/264.

LCM(1504/264, 7177/528) = 10794208/264

LCM of 1504/264, 7177/528

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 1504/264,7177/528

Given numbers are 1504/264,7177/528

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 1504,7177

Least Common Multiple of Numerators i.e. LCM of 1504,7177 is 10794208.

GCF of Denominators means GCF of 264,528 as per the given fractions.

GCF of 264,528 is 264 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1504,7177

LCM of Fractions 1504/264,7177/528 is 10794208/264

Given numbers has no common factors except 1. So, there LCM is their product i.e 10794208

Least Common Multiple of 1504,7177 with GCF Formula

Least Common Multiple of 1504,7177 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 1504,7177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1504,7177) = 1

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

GCF(1504,7177) x common factors =1 x 1 = 1

LCM(1504,7177) = ( 1504 × 7177 ) / 1

LCM(1504,7177) = 10794208 / 1

LCM(1504,7177) = 10794208


Lets's calculate GCF of 264,528

2 264, 528
2 132, 264
2 66, 132
3 33, 66
11 11, 22
1, 2

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 11 = 264

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10794208/264

Therefore the LCM of Fractions 1504/264,7177/528 is 10794208/264

Greatest Common Factor of 264,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,528 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 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 264,528 . The biggest common factor number is the GCF number.
So the greatest common factor 264,528 is 264.


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 1504/264, 7177/528

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 1504/264, 7177/528?

Answer: LCM of Numerators as per given numbers 1504/264, 7177/528 is

LCM of Numerators i.e. for 1504,7177 is 10794208

GCF of denominators i.e. for 264,528 is 264.

Thus, LCM of Fractions is 10794208/264.Finally, LCM of Fractions for 1504/264, 7177/528 is 10794208/264.