Least Common Multiple of 45/149, 99/793, 310/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 45/149, 99/793, 310/949 quickly i.e. 30690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/149, 99/793, 310/949 is 30690.

LCM(45/149, 99/793, 310/949) = 30690

LCM of 45/149, 99/793, 310/949

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 45/149,99/793,310/949

Given numbers are 45/149,99/793,310/949

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 45,99,310

Least Common Multiple of Numerators i.e. LCM of 45,99,310 is 30690.

GCF of Denominators means GCF of 149,793,949 as per the given fractions.

GCF of 149,793,949 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,99,310

LCM of Fractions 45/149,99/793,310/949 is 30690

3 45, 99, 310
3 15, 33, 310
5 5, 11, 310
1, 11, 62

∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 11 x 62 = 30690

Least Common Multiple of 45,99,310 with GCF Formula

Least Common Multiple of 45,99,310 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 45,99,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,99,310) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(45,99,310) x common factors =1 x 45 = 45

LCM(45,99,310) = ( 45 × 99 × 310 ) / 45

LCM(45,99,310) = 1381050 / 45

LCM(45,99,310) = 30690


Lets's calculate GCF of 149,793,949

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30690/1

Therefore the LCM of Fractions 45/149,99/793,310/949 is 30690

Greatest Common Factor of 149,793,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,793,949 By Matching Biggest Common Factor Method

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 149,793,949 . The biggest common factor number is the GCF number.
So the greatest common factor 149,793,949 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 45/149, 99/793, 310/949

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 45/149, 99/793, 310/949?

Answer: LCM of Numerators as per given numbers 45/149, 99/793, 310/949 is

LCM of Numerators i.e. for 45,99,310 is 30690

GCF of denominators i.e. for 149,793,949 is 1.

Thus, LCM of Fractions is 30690.Finally, LCM of Fractions for 45/149, 99/793, 310/949 is 30690.