Least Common Multiple of 772/532, 170/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 772/532, 170/143 quickly i.e. 65620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 772/532, 170/143 is 65620.

LCM(772/532, 170/143) = 65620

LCM of 772/532, 170/143

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 772/532,170/143

Given numbers are 772/532,170/143

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 772,170

Least Common Multiple of Numerators i.e. LCM of 772,170 is 65620.

GCF of Denominators means GCF of 532,143 as per the given fractions.

GCF of 532,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 772,170

LCM of Fractions 772/532,170/143 is 65620

2 772, 170
386, 85

∴ So the LCM of the given numbers is 2 x 386 x 85 = 65620

Least Common Multiple of 772,170 with GCF Formula

Least Common Multiple of 772,170 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 772,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,170) = 2

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

GCF(772,170) x common factors =2 x 1 = 2

LCM(772,170) = ( 772 × 170 ) / 2

LCM(772,170) = 131240 / 2

LCM(772,170) = 65620


Lets's calculate GCF of 532,143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65620/1

Therefore the LCM of Fractions 772/532,170/143 is 65620

Greatest Common Factor of 532,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,143 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 532,143 . The biggest common factor number is the GCF number.
So the greatest common factor 532,143 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 772/532, 170/143

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 772/532, 170/143?

Answer: LCM of Numerators as per given numbers 772/532, 170/143 is

LCM of Numerators i.e. for 772,170 is 65620

GCF of denominators i.e. for 532,143 is 1.

Thus, LCM of Fractions is 65620.Finally, LCM of Fractions for 772/532, 170/143 is 65620.