Least Common Multiple of 56/346, 64/749, 306/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/346, 64/749, 306/574 quickly i.e. 68544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/346, 64/749, 306/574 is 68544.

LCM(56/346, 64/749, 306/574) = 68544

LCM of 56/346, 64/749, 306/574

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 56/346,64/749,306/574

Given numbers are 56/346,64/749,306/574

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 56,64,306

Least Common Multiple of Numerators i.e. LCM of 56,64,306 is 68544.

GCF of Denominators means GCF of 346,749,574 as per the given fractions.

GCF of 346,749,574 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,64,306

LCM of Fractions 56/346,64/749,306/574 is 68544

2 56, 64, 306
2 28, 32, 153
2 14, 16, 153
7, 8, 153

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 8 x 153 = 68544

Least Common Multiple of 56,64,306 with GCF Formula

Least Common Multiple of 56,64,306 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 56,64,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,64,306) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(56,64,306) x common factors =2 x 8 = 16

LCM(56,64,306) = ( 56 × 64 × 306 ) / 16

LCM(56,64,306) = 1096704 / 16

LCM(56,64,306) = 68544


Lets's calculate GCF of 346,749,574

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68544/1

Therefore the LCM of Fractions 56/346,64/749,306/574 is 68544

Greatest Common Factor of 346,749,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,749,574 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 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 346,749,574 . The biggest common factor number is the GCF number.
So the greatest common factor 346,749,574 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 56/346, 64/749, 306/574

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 56/346, 64/749, 306/574?

Answer: LCM of Numerators as per given numbers 56/346, 64/749, 306/574 is

LCM of Numerators i.e. for 56,64,306 is 68544

GCF of denominators i.e. for 346,749,574 is 1.

Thus, LCM of Fractions is 68544.Finally, LCM of Fractions for 56/346, 64/749, 306/574 is 68544.