Least Common Multiple of 98/795, 56/622, 304/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/795, 56/622, 304/560 quickly i.e. 14896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/795, 56/622, 304/560 is 14896.

LCM(98/795, 56/622, 304/560) = 14896

LCM of 98/795, 56/622, 304/560

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 98/795,56/622,304/560

Given numbers are 98/795,56/622,304/560

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 98,56,304

Least Common Multiple of Numerators i.e. LCM of 98,56,304 is 14896.

GCF of Denominators means GCF of 795,622,560 as per the given fractions.

GCF of 795,622,560 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,56,304

LCM of Fractions 98/795,56/622,304/560 is 14896

2 98, 56, 304
2 49, 28, 152
2 49, 14, 76
7 49, 7, 38
1, 7, 38

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 7 x 38 = 14896

Least Common Multiple of 98,56,304 with GCF Formula

Least Common Multiple of 98,56,304 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 98,56,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,56,304) = 2

common factors(in case of two or more numbers have common factors) = 56

GCF(98,56,304) x common factors =2 x 56 = 112

LCM(98,56,304) = ( 98 × 56 × 304 ) / 112

LCM(98,56,304) = 1668352 / 112

LCM(98,56,304) = 14896


Lets's calculate GCF of 795,622,560

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14896/1

Therefore the LCM of Fractions 98/795,56/622,304/560 is 14896

Greatest Common Factor of 795,622,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,622,560 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 795,622,560 . The biggest common factor number is the GCF number.
So the greatest common factor 795,622,560 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 98/795, 56/622, 304/560

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 98/795, 56/622, 304/560?

Answer: LCM of Numerators as per given numbers 98/795, 56/622, 304/560 is

LCM of Numerators i.e. for 98,56,304 is 14896

GCF of denominators i.e. for 795,622,560 is 1.

Thus, LCM of Fractions is 14896.Finally, LCM of Fractions for 98/795, 56/622, 304/560 is 14896.