Least Common Multiple of 28/505, 864/342, 669/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/505, 864/342, 669/948 quickly i.e. 1348704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/505, 864/342, 669/948 is 1348704.

LCM(28/505, 864/342, 669/948) = 1348704

LCM of 28/505, 864/342, 669/948

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 28/505,864/342,669/948

Given numbers are 28/505,864/342,669/948

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 28,864,669

Least Common Multiple of Numerators i.e. LCM of 28,864,669 is 1348704.

GCF of Denominators means GCF of 505,342,948 as per the given fractions.

GCF of 505,342,948 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,864,669

LCM of Fractions 28/505,864/342,669/948 is 1348704

2 28, 864, 669
2 14, 432, 669
3 7, 216, 669
7, 72, 223

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 72 x 223 = 1348704

Least Common Multiple of 28,864,669 with GCF Formula

Least Common Multiple of 28,864,669 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 28,864,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,864,669) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(28,864,669) x common factors =1 x 12 = 12

LCM(28,864,669) = ( 28 × 864 × 669 ) / 12

LCM(28,864,669) = 16184448 / 12

LCM(28,864,669) = 1348704


Lets's calculate GCF of 505,342,948

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1348704/1

Therefore the LCM of Fractions 28/505,864/342,669/948 is 1348704

Greatest Common Factor of 505,342,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 505,342,948 By Matching Biggest Common Factor Method

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 505,342,948 . The biggest common factor number is the GCF number.
So the greatest common factor 505,342,948 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 28/505, 864/342, 669/948

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 28/505, 864/342, 669/948?

Answer: LCM of Numerators as per given numbers 28/505, 864/342, 669/948 is

LCM of Numerators i.e. for 28,864,669 is 1348704

GCF of denominators i.e. for 505,342,948 is 1.

Thus, LCM of Fractions is 1348704.Finally, LCM of Fractions for 28/505, 864/342, 669/948 is 1348704.