Least Common Multiple of 56/465, 84/698, 722/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/465, 84/698, 722/998 quickly i.e. 60648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/465, 84/698, 722/998 is 60648.

LCM(56/465, 84/698, 722/998) = 60648

LCM of 56/465, 84/698, 722/998

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 56/465,84/698,722/998

Given numbers are 56/465,84/698,722/998

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 56,84,722

Least Common Multiple of Numerators i.e. LCM of 56,84,722 is 60648.

GCF of Denominators means GCF of 465,698,998 as per the given fractions.

GCF of 465,698,998 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,84,722

LCM of Fractions 56/465,84/698,722/998 is 60648

2 56, 84, 722
2 28, 42, 361
7 14, 21, 361
2, 3, 361

∴ So the LCM of the given numbers is 2 x 2 x 7 x 2 x 3 x 361 = 60648

Least Common Multiple of 56,84,722 with GCF Formula

Least Common Multiple of 56,84,722 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 56,84,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,84,722) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(56,84,722) x common factors =2 x 28 = 56

LCM(56,84,722) = ( 56 × 84 × 722 ) / 56

LCM(56,84,722) = 3396288 / 56

LCM(56,84,722) = 60648


Lets's calculate GCF of 465,698,998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60648/1

Therefore the LCM of Fractions 56/465,84/698,722/998 is 60648

Greatest Common Factor of 465,698,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,698,998 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 465,698,998 . The biggest common factor number is the GCF number.
So the greatest common factor 465,698,998 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 56/465, 84/698, 722/998

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 56/465, 84/698, 722/998?

Answer: LCM of Numerators as per given numbers 56/465, 84/698, 722/998 is

LCM of Numerators i.e. for 56,84,722 is 60648

GCF of denominators i.e. for 465,698,998 is 1.

Thus, LCM of Fractions is 60648.Finally, LCM of Fractions for 56/465, 84/698, 722/998 is 60648.