Least Common Multiple of 91/728, 962/173, 506/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/728, 962/173, 506/862 quickly i.e. 1703702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/728, 962/173, 506/862 is 1703702.

LCM(91/728, 962/173, 506/862) = 1703702

LCM of 91/728, 962/173, 506/862

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 91/728,962/173,506/862

Given numbers are 91/728,962/173,506/862

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 91,962,506

Least Common Multiple of Numerators i.e. LCM of 91,962,506 is 1703702.

GCF of Denominators means GCF of 728,173,862 as per the given fractions.

GCF of 728,173,862 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,962,506

LCM of Fractions 91/728,962/173,506/862 is 1703702

2 91, 962, 506
13 91, 481, 253
7, 37, 253

∴ So the LCM of the given numbers is 2 x 13 x 7 x 37 x 253 = 1703702

Least Common Multiple of 91,962,506 with GCF Formula

Least Common Multiple of 91,962,506 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 91,962,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,962,506) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(91,962,506) x common factors =1 x 26 = 26

LCM(91,962,506) = ( 91 × 962 × 506 ) / 26

LCM(91,962,506) = 44296252 / 26

LCM(91,962,506) = 1703702


Lets's calculate GCF of 728,173,862

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1703702/1

Therefore the LCM of Fractions 91/728,962/173,506/862 is 1703702

Greatest Common Factor of 728,173,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,173,862 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 728,173,862 . The biggest common factor number is the GCF number.
So the greatest common factor 728,173,862 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 91/728, 962/173, 506/862

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 91/728, 962/173, 506/862?

Answer: LCM of Numerators as per given numbers 91/728, 962/173, 506/862 is

LCM of Numerators i.e. for 91,962,506 is 1703702

GCF of denominators i.e. for 728,173,862 is 1.

Thus, LCM of Fractions is 1703702.Finally, LCM of Fractions for 91/728, 962/173, 506/862 is 1703702.