Least Common Multiple of 98/980, 319/659, 847/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/980, 319/659, 847/549 quickly i.e. 343882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/980, 319/659, 847/549 is 343882.

LCM(98/980, 319/659, 847/549) = 343882

LCM of 98/980, 319/659, 847/549

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 98/980,319/659,847/549

Given numbers are 98/980,319/659,847/549

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 98,319,847

Least Common Multiple of Numerators i.e. LCM of 98,319,847 is 343882.

GCF of Denominators means GCF of 980,659,549 as per the given fractions.

GCF of 980,659,549 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,319,847

LCM of Fractions 98/980,319/659,847/549 is 343882

7 98, 319, 847
11 14, 319, 121
14, 29, 11

∴ So the LCM of the given numbers is 7 x 11 x 14 x 29 x 11 = 343882

Least Common Multiple of 98,319,847 with GCF Formula

Least Common Multiple of 98,319,847 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 98,319,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,319,847) = 1

common factors(in case of two or more numbers have common factors) = 77

GCF(98,319,847) x common factors =1 x 77 = 77

LCM(98,319,847) = ( 98 × 319 × 847 ) / 77

LCM(98,319,847) = 26478914 / 77

LCM(98,319,847) = 343882


Lets's calculate GCF of 980,659,549

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 343882/1

Therefore the LCM of Fractions 98/980,319/659,847/549 is 343882

Greatest Common Factor of 980,659,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,659,549 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 980,659,549 . The biggest common factor number is the GCF number.
So the greatest common factor 980,659,549 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 98/980, 319/659, 847/549

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 98/980, 319/659, 847/549?

Answer: LCM of Numerators as per given numbers 98/980, 319/659, 847/549 is

LCM of Numerators i.e. for 98,319,847 is 343882

GCF of denominators i.e. for 980,659,549 is 1.

Thus, LCM of Fractions is 343882.Finally, LCM of Fractions for 98/980, 319/659, 847/549 is 343882.