Least Common Multiple of 803/25, 275/46, 377/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 803/25, 275/46, 377/348 quickly i.e. 7568275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 803/25, 275/46, 377/348 is 7568275.

LCM(803/25, 275/46, 377/348) = 7568275

LCM of 803/25, 275/46, 377/348

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 803/25,275/46,377/348

Given numbers are 803/25,275/46,377/348

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 803,275,377

Least Common Multiple of Numerators i.e. LCM of 803,275,377 is 7568275.

GCF of Denominators means GCF of 25,46,348 as per the given fractions.

GCF of 25,46,348 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 803,275,377

LCM of Fractions 803/25,275/46,377/348 is 7568275

11 803, 275, 377
73, 25, 377

∴ So the LCM of the given numbers is 11 x 73 x 25 x 377 = 7568275

Least Common Multiple of 803,275,377 with GCF Formula

Least Common Multiple of 803,275,377 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 803,275,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(803,275,377) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(803,275,377) x common factors =1 x 11 = 11

LCM(803,275,377) = ( 803 × 275 × 377 ) / 11

LCM(803,275,377) = 83251025 / 11

LCM(803,275,377) = 7568275


Lets's calculate GCF of 25,46,348

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7568275/1

Therefore the LCM of Fractions 803/25,275/46,377/348 is 7568275

Greatest Common Factor of 25,46,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,46,348 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 25,46,348 . The biggest common factor number is the GCF number.
So the greatest common factor 25,46,348 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 803/25, 275/46, 377/348

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 803/25, 275/46, 377/348?

Answer: LCM of Numerators as per given numbers 803/25, 275/46, 377/348 is

LCM of Numerators i.e. for 803,275,377 is 7568275

GCF of denominators i.e. for 25,46,348 is 1.

Thus, LCM of Fractions is 7568275.Finally, LCM of Fractions for 803/25, 275/46, 377/348 is 7568275.