Least Common Multiple of 880/346, 449/944, 693/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 880/346, 449/944, 693/713 quickly i.e. 24892560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 880/346, 449/944, 693/713 is 24892560.

LCM(880/346, 449/944, 693/713) = 24892560

LCM of 880/346, 449/944, 693/713

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 880/346,449/944,693/713

Given numbers are 880/346,449/944,693/713

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 880,449,693

Least Common Multiple of Numerators i.e. LCM of 880,449,693 is 24892560.

GCF of Denominators means GCF of 346,944,713 as per the given fractions.

GCF of 346,944,713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 880,449,693

LCM of Fractions 880/346,449/944,693/713 is 24892560

11 880, 449, 693
80, 449, 63

∴ So the LCM of the given numbers is 11 x 80 x 449 x 63 = 24892560

Least Common Multiple of 880,449,693 with GCF Formula

Least Common Multiple of 880,449,693 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 880,449,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(880,449,693) = 1

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

GCF(880,449,693) x common factors =1 x 11 = 11

LCM(880,449,693) = ( 880 × 449 × 693 ) / 11

LCM(880,449,693) = 273818160 / 11

LCM(880,449,693) = 24892560


Lets's calculate GCF of 346,944,713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24892560/1

Therefore the LCM of Fractions 880/346,449/944,693/713 is 24892560

Greatest Common Factor of 346,944,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,944,713 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 346,944,713 . The biggest common factor number is the GCF number.
So the greatest common factor 346,944,713 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 880/346, 449/944, 693/713

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 880/346, 449/944, 693/713?

Answer: LCM of Numerators as per given numbers 880/346, 449/944, 693/713 is

LCM of Numerators i.e. for 880,449,693 is 24892560

GCF of denominators i.e. for 346,944,713 is 1.

Thus, LCM of Fractions is 24892560.Finally, LCM of Fractions for 880/346, 449/944, 693/713 is 24892560.