Least Common Multiple of 47/34, 142/96, 802/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/34, 142/96, 802/970 quickly i.e. 1338137 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/34, 142/96, 802/970 is 1338137.

LCM(47/34, 142/96, 802/970) = 1338137

LCM of 47/34, 142/96, 802/970

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 47/34,142/96,802/970

Given numbers are 47/34,142/96,802/970

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 47,142,802

Least Common Multiple of Numerators i.e. LCM of 47,142,802 is 2676274.

GCF of Denominators means GCF of 34,96,970 as per the given fractions.

GCF of 34,96,970 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,142,802

LCM of Fractions 47/34,142/96,802/970 is 1338137

2 47, 142, 802
47, 71, 401

∴ So the LCM of the given numbers is 2 x 47 x 71 x 401 = 2676274

Least Common Multiple of 47,142,802 with GCF Formula

Least Common Multiple of 47,142,802 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 47,142,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,142,802) = 1

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

GCF(47,142,802) x common factors =1 x 2 = 2

LCM(47,142,802) = ( 47 × 142 × 802 ) / 2

LCM(47,142,802) = 5352548 / 2

LCM(47,142,802) = 2676274


Lets's calculate GCF of 34,96,970

2 34, 96, 970
17, 48, 485

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2676274/2

Therefore the LCM of Fractions 47/34,142/96,802/970 is 1338137

Greatest Common Factor of 34,96,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,96,970 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

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 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 34,96,970 . The biggest common factor number is the GCF number.
So the greatest common factor 34,96,970 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 47/34, 142/96, 802/970

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 47/34, 142/96, 802/970?

Answer: LCM of Numerators as per given numbers 47/34, 142/96, 802/970 is

LCM of Numerators i.e. for 47,142,802 is 2676274

GCF of denominators i.e. for 34,96,970 is 2.

Thus, LCM of Fractions is 1338137.Finally, LCM of Fractions for 47/34, 142/96, 802/970 is 1338137.