Least Common Multiple of 892/329, 5236/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 892/329, 5236/280 quickly i.e. 166804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 892/329, 5236/280 is 166804.

LCM(892/329, 5236/280) = 166804

LCM of 892/329, 5236/280

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 892/329,5236/280

Given numbers are 892/329,5236/280

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 892,5236

Least Common Multiple of Numerators i.e. LCM of 892,5236 is 1167628.

GCF of Denominators means GCF of 329,280 as per the given fractions.

GCF of 329,280 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 892,5236

LCM of Fractions 892/329,5236/280 is 166804

2 892, 5236
2 446, 2618
223, 1309

∴ So the LCM of the given numbers is 2 x 2 x 223 x 1309 = 1167628

Least Common Multiple of 892,5236 with GCF Formula

Least Common Multiple of 892,5236 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 892,5236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,5236) = 4

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

GCF(892,5236) x common factors =4 x 1 = 4

LCM(892,5236) = ( 892 × 5236 ) / 4

LCM(892,5236) = 4670512 / 4

LCM(892,5236) = 1167628


Lets's calculate GCF of 329,280

7 329, 280
47, 40

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1167628/7

Therefore the LCM of Fractions 892/329,5236/280 is 166804

Greatest Common Factor of 329,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,280 By Matching Biggest Common Factor Method

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 329,280 . The biggest common factor number is the GCF number.
So the greatest common factor 329,280 is 7.


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 892/329, 5236/280

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 892/329, 5236/280?

Answer: LCM of Numerators as per given numbers 892/329, 5236/280 is

LCM of Numerators i.e. for 892,5236 is 1167628

GCF of denominators i.e. for 329,280 is 7.

Thus, LCM of Fractions is 166804.Finally, LCM of Fractions for 892/329, 5236/280 is 166804.