Least Common Multiple of 51/98, 344/96, 380/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/98, 344/96, 380/334 quickly i.e. 833340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/98, 344/96, 380/334 is 833340.

LCM(51/98, 344/96, 380/334) = 833340

LCM of 51/98, 344/96, 380/334

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 51/98,344/96,380/334

Given numbers are 51/98,344/96,380/334

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 51,344,380

Least Common Multiple of Numerators i.e. LCM of 51,344,380 is 1666680.

GCF of Denominators means GCF of 98,96,334 as per the given fractions.

GCF of 98,96,334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,344,380

LCM of Fractions 51/98,344/96,380/334 is 833340

2 51, 344, 380
2 51, 172, 190
51, 86, 95

∴ So the LCM of the given numbers is 2 x 2 x 51 x 86 x 95 = 1666680

Least Common Multiple of 51,344,380 with GCF Formula

Least Common Multiple of 51,344,380 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 51,344,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,344,380) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(51,344,380) x common factors =1 x 4 = 4

LCM(51,344,380) = ( 51 × 344 × 380 ) / 4

LCM(51,344,380) = 6666720 / 4

LCM(51,344,380) = 1666680


Lets's calculate GCF of 98,96,334

2 98, 96, 334
49, 48, 167

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1666680/2

Therefore the LCM of Fractions 51/98,344/96,380/334 is 833340

Greatest Common Factor of 98,96,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,96,334 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 98,96,334 . The biggest common factor number is the GCF number.
So the greatest common factor 98,96,334 is 2.


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 51/98, 344/96, 380/334

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 51/98, 344/96, 380/334?

Answer: LCM of Numerators as per given numbers 51/98, 344/96, 380/334 is

LCM of Numerators i.e. for 51,344,380 is 1666680

GCF of denominators i.e. for 98,96,334 is 2.

Thus, LCM of Fractions is 833340.Finally, LCM of Fractions for 51/98, 344/96, 380/334 is 833340.