Least Common Multiple of 99/107, 646/902, 475/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/107, 646/902, 475/509 quickly i.e. 1598850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/107, 646/902, 475/509 is 1598850.

LCM(99/107, 646/902, 475/509) = 1598850

LCM of 99/107, 646/902, 475/509

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 99/107,646/902,475/509

Given numbers are 99/107,646/902,475/509

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 99,646,475

Least Common Multiple of Numerators i.e. LCM of 99,646,475 is 1598850.

GCF of Denominators means GCF of 107,902,509 as per the given fractions.

GCF of 107,902,509 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,646,475

LCM of Fractions 99/107,646/902,475/509 is 1598850

19 99, 646, 475
99, 34, 25

∴ So the LCM of the given numbers is 19 x 99 x 34 x 25 = 1598850

Least Common Multiple of 99,646,475 with GCF Formula

Least Common Multiple of 99,646,475 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 99,646,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,646,475) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(99,646,475) x common factors =1 x 19 = 19

LCM(99,646,475) = ( 99 × 646 × 475 ) / 19

LCM(99,646,475) = 30378150 / 19

LCM(99,646,475) = 1598850


Lets's calculate GCF of 107,902,509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1598850/1

Therefore the LCM of Fractions 99/107,646/902,475/509 is 1598850

Greatest Common Factor of 107,902,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,902,509 By Matching Biggest Common Factor Method

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Greatest Common Factor

We found the factors 107,902,509 . The biggest common factor number is the GCF number.
So the greatest common factor 107,902,509 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 99/107, 646/902, 475/509

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 99/107, 646/902, 475/509?

Answer: LCM of Numerators as per given numbers 99/107, 646/902, 475/509 is

LCM of Numerators i.e. for 99,646,475 is 1598850

GCF of denominators i.e. for 107,902,509 is 1.

Thus, LCM of Fractions is 1598850.Finally, LCM of Fractions for 99/107, 646/902, 475/509 is 1598850.