Least Common Multiple of 47/96, 95/49, 426/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/96, 95/49, 426/980 quickly i.e. 1902090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/96, 95/49, 426/980 is 1902090.

LCM(47/96, 95/49, 426/980) = 1902090

LCM of 47/96, 95/49, 426/980

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 47/96,95/49,426/980

Given numbers are 47/96,95/49,426/980

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 47,95,426

Least Common Multiple of Numerators i.e. LCM of 47,95,426 is 1902090.

GCF of Denominators means GCF of 96,49,980 as per the given fractions.

GCF of 96,49,980 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,95,426

LCM of Fractions 47/96,95/49,426/980 is 1902090

Given numbers has no common factors except 1. So, there LCM is their product i.e 1902090

Least Common Multiple of 47,95,426 with GCF Formula

Least Common Multiple of 47,95,426 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 47,95,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,95,426) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(47,95,426) x common factors =1 x 1 = 1

LCM(47,95,426) = ( 47 × 95 × 426 ) / 1

LCM(47,95,426) = 1902090 / 1

LCM(47,95,426) = 1902090


Lets's calculate GCF of 96,49,980

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1902090/1

Therefore the LCM of Fractions 47/96,95/49,426/980 is 1902090

Greatest Common Factor of 96,49,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,49,980 By Matching Biggest Common Factor Method

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 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

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

Greatest Common Factor

We found the factors 96,49,980 . The biggest common factor number is the GCF number.
So the greatest common factor 96,49,980 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 47/96, 95/49, 426/980

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 47/96, 95/49, 426/980?

Answer: LCM of Numerators as per given numbers 47/96, 95/49, 426/980 is

LCM of Numerators i.e. for 47,95,426 is 1902090

GCF of denominators i.e. for 96,49,980 is 1.

Thus, LCM of Fractions is 1902090.Finally, LCM of Fractions for 47/96, 95/49, 426/980 is 1902090.