Least Common Multiple of 98/822, 46/408, 304/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/822, 46/408, 304/703 quickly i.e. 342608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/822, 46/408, 304/703 is 342608.

LCM(98/822, 46/408, 304/703) = 342608

LCM of 98/822, 46/408, 304/703

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 98/822,46/408,304/703

Given numbers are 98/822,46/408,304/703

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 98,46,304

Least Common Multiple of Numerators i.e. LCM of 98,46,304 is 342608.

GCF of Denominators means GCF of 822,408,703 as per the given fractions.

GCF of 822,408,703 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,46,304

LCM of Fractions 98/822,46/408,304/703 is 342608

2 98, 46, 304
49, 23, 152

∴ So the LCM of the given numbers is 2 x 49 x 23 x 152 = 342608

Least Common Multiple of 98,46,304 with GCF Formula

Least Common Multiple of 98,46,304 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 98,46,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,46,304) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(98,46,304) x common factors =2 x 2 = 4

LCM(98,46,304) = ( 98 × 46 × 304 ) / 4

LCM(98,46,304) = 1370432 / 4

LCM(98,46,304) = 342608


Lets's calculate GCF of 822,408,703

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 342608/1

Therefore the LCM of Fractions 98/822,46/408,304/703 is 342608

Greatest Common Factor of 822,408,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,408,703 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 822,408,703 . The biggest common factor number is the GCF number.
So the greatest common factor 822,408,703 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 98/822, 46/408, 304/703

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 98/822, 46/408, 304/703?

Answer: LCM of Numerators as per given numbers 98/822, 46/408, 304/703 is

LCM of Numerators i.e. for 98,46,304 is 342608

GCF of denominators i.e. for 822,408,703 is 1.

Thus, LCM of Fractions is 342608.Finally, LCM of Fractions for 98/822, 46/408, 304/703 is 342608.