Least Common Multiple of 99/149, 550/479, 815/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/149, 550/479, 815/856 quickly i.e. 806850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/149, 550/479, 815/856 is 806850.

LCM(99/149, 550/479, 815/856) = 806850

LCM of 99/149, 550/479, 815/856

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 99/149,550/479,815/856

Given numbers are 99/149,550/479,815/856

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 99,550,815

Least Common Multiple of Numerators i.e. LCM of 99,550,815 is 806850.

GCF of Denominators means GCF of 149,479,856 as per the given fractions.

GCF of 149,479,856 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,550,815

LCM of Fractions 99/149,550/479,815/856 is 806850

5 99, 550, 815
11 99, 110, 163
9, 10, 163

∴ So the LCM of the given numbers is 5 x 11 x 9 x 10 x 163 = 806850

Least Common Multiple of 99,550,815 with GCF Formula

Least Common Multiple of 99,550,815 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 99,550,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,550,815) = 1

common factors(in case of two or more numbers have common factors) = 55

GCF(99,550,815) x common factors =1 x 55 = 55

LCM(99,550,815) = ( 99 × 550 × 815 ) / 55

LCM(99,550,815) = 44376750 / 55

LCM(99,550,815) = 806850


Lets's calculate GCF of 149,479,856

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 806850/1

Therefore the LCM of Fractions 99/149,550/479,815/856 is 806850

Greatest Common Factor of 149,479,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,479,856 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 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 149,479,856 . The biggest common factor number is the GCF number.
So the greatest common factor 149,479,856 is 1.


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Frequently Asked Questions on Fractional LCM of 99/149, 550/479, 815/856

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 99/149, 550/479, 815/856?

Answer: LCM of Numerators as per given numbers 99/149, 550/479, 815/856 is

LCM of Numerators i.e. for 99,550,815 is 806850

GCF of denominators i.e. for 149,479,856 is 1.

Thus, LCM of Fractions is 806850.Finally, LCM of Fractions for 99/149, 550/479, 815/856 is 806850.