Least Common Multiple of 98/342, 808/426, 294/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/342, 808/426, 294/201 quickly i.e. 39592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/342, 808/426, 294/201 is 39592.

LCM(98/342, 808/426, 294/201) = 39592

LCM of 98/342, 808/426, 294/201

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 98/342,808/426,294/201

Given numbers are 98/342,808/426,294/201

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 98,808,294

Least Common Multiple of Numerators i.e. LCM of 98,808,294 is 118776.

GCF of Denominators means GCF of 342,426,201 as per the given fractions.

GCF of 342,426,201 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,808,294

LCM of Fractions 98/342,808/426,294/201 is 39592

2 98, 808, 294
7 49, 404, 147
7 7, 404, 21
1, 404, 3

∴ So the LCM of the given numbers is 2 x 7 x 7 x 1 x 404 x 3 = 118776

Least Common Multiple of 98,808,294 with GCF Formula

Least Common Multiple of 98,808,294 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 98,808,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,808,294) = 2

common factors(in case of two or more numbers have common factors) = 98

GCF(98,808,294) x common factors =2 x 98 = 196

LCM(98,808,294) = ( 98 × 808 × 294 ) / 196

LCM(98,808,294) = 23280096 / 196

LCM(98,808,294) = 118776


Lets's calculate GCF of 342,426,201

3 342, 426, 201
114, 142, 67

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118776/3

Therefore the LCM of Fractions 98/342,808/426,294/201 is 39592

Greatest Common Factor of 342,426,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,426,201 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 342,426,201 . The biggest common factor number is the GCF number.
So the greatest common factor 342,426,201 is 3.


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 98/342, 808/426, 294/201

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 98/342, 808/426, 294/201?

Answer: LCM of Numerators as per given numbers 98/342, 808/426, 294/201 is

LCM of Numerators i.e. for 98,808,294 is 118776

GCF of denominators i.e. for 342,426,201 is 3.

Thus, LCM of Fractions is 39592.Finally, LCM of Fractions for 98/342, 808/426, 294/201 is 39592.