Least Common Multiple of 99/31, 746/95, 549/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/31, 746/95, 549/310 quickly i.e. 4505094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/31, 746/95, 549/310 is 4505094.

LCM(99/31, 746/95, 549/310) = 4505094

LCM of 99/31, 746/95, 549/310

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 99/31,746/95,549/310

Given numbers are 99/31,746/95,549/310

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 99,746,549

Least Common Multiple of Numerators i.e. LCM of 99,746,549 is 4505094.

GCF of Denominators means GCF of 31,95,310 as per the given fractions.

GCF of 31,95,310 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,746,549

LCM of Fractions 99/31,746/95,549/310 is 4505094

3 99, 746, 549
3 33, 746, 183
11, 746, 61

∴ So the LCM of the given numbers is 3 x 3 x 11 x 746 x 61 = 4505094

Least Common Multiple of 99,746,549 with GCF Formula

Least Common Multiple of 99,746,549 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 99,746,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,746,549) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(99,746,549) x common factors =1 x 9 = 9

LCM(99,746,549) = ( 99 × 746 × 549 ) / 9

LCM(99,746,549) = 40545846 / 9

LCM(99,746,549) = 4505094


Lets's calculate GCF of 31,95,310

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4505094/1

Therefore the LCM of Fractions 99/31,746/95,549/310 is 4505094

Greatest Common Factor of 31,95,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,95,310 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 31,95,310 . The biggest common factor number is the GCF number.
So the greatest common factor 31,95,310 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 99/31, 746/95, 549/310

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 99/31, 746/95, 549/310?

Answer: LCM of Numerators as per given numbers 99/31, 746/95, 549/310 is

LCM of Numerators i.e. for 99,746,549 is 4505094

GCF of denominators i.e. for 31,95,310 is 1.

Thus, LCM of Fractions is 4505094.Finally, LCM of Fractions for 99/31, 746/95, 549/310 is 4505094.