Least Common Multiple of 802/58, 172/5257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 802/58, 172/5257 quickly i.e. 68972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/58, 172/5257 is 68972.

LCM(802/58, 172/5257) = 68972

LCM of 802/58, 172/5257

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 802/58,172/5257

Given numbers are 802/58,172/5257

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 802,172

Least Common Multiple of Numerators i.e. LCM of 802,172 is 68972.

GCF of Denominators means GCF of 58,5257 as per the given fractions.

GCF of 58,5257 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,172

LCM of Fractions 802/58,172/5257 is 68972

2 802, 172
401, 86

∴ So the LCM of the given numbers is 2 x 401 x 86 = 68972

Least Common Multiple of 802,172 with GCF Formula

Least Common Multiple of 802,172 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 802,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,172) = 2

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

GCF(802,172) x common factors =2 x 1 = 2

LCM(802,172) = ( 802 × 172 ) / 2

LCM(802,172) = 137944 / 2

LCM(802,172) = 68972


Lets's calculate GCF of 58,5257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68972/1

Therefore the LCM of Fractions 802/58,172/5257 is 68972

Greatest Common Factor of 58,5257 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,5257 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 5257

List of positive integer factors of 5257 that divides 5257 without a remainder.

1,7,751,5257

Greatest Common Factor

We found the factors 58,5257 . The biggest common factor number is the GCF number.
So the greatest common factor 58,5257 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 802/58, 172/5257

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 802/58, 172/5257?

Answer: LCM of Numerators as per given numbers 802/58, 172/5257 is

LCM of Numerators i.e. for 802,172 is 68972

GCF of denominators i.e. for 58,5257 is 1.

Thus, LCM of Fractions is 68972.Finally, LCM of Fractions for 802/58, 172/5257 is 68972.