Least Common Multiple of 56/344, 42/693, 830/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/344, 42/693, 830/658 quickly i.e. 69720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/344, 42/693, 830/658 is 69720.

LCM(56/344, 42/693, 830/658) = 69720

LCM of 56/344, 42/693, 830/658

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 56/344,42/693,830/658

Given numbers are 56/344,42/693,830/658

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 56,42,830

Least Common Multiple of Numerators i.e. LCM of 56,42,830 is 69720.

GCF of Denominators means GCF of 344,693,658 as per the given fractions.

GCF of 344,693,658 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,42,830

LCM of Fractions 56/344,42/693,830/658 is 69720

2 56, 42, 830
7 28, 21, 415
4, 3, 415

∴ So the LCM of the given numbers is 2 x 7 x 4 x 3 x 415 = 69720

Least Common Multiple of 56,42,830 with GCF Formula

Least Common Multiple of 56,42,830 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 56,42,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,42,830) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(56,42,830) x common factors =2 x 14 = 28

LCM(56,42,830) = ( 56 × 42 × 830 ) / 28

LCM(56,42,830) = 1952160 / 28

LCM(56,42,830) = 69720


Lets's calculate GCF of 344,693,658

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69720/1

Therefore the LCM of Fractions 56/344,42/693,830/658 is 69720

Greatest Common Factor of 344,693,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,693,658 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 344,693,658 . The biggest common factor number is the GCF number.
So the greatest common factor 344,693,658 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 56/344, 42/693, 830/658

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 56/344, 42/693, 830/658?

Answer: LCM of Numerators as per given numbers 56/344, 42/693, 830/658 is

LCM of Numerators i.e. for 56,42,830 is 69720

GCF of denominators i.e. for 344,693,658 is 1.

Thus, LCM of Fractions is 69720.Finally, LCM of Fractions for 56/344, 42/693, 830/658 is 69720.