Least Common Multiple of 69/151, 199/998, 851/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/151, 199/998, 851/648 quickly i.e. 508047 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/151, 199/998, 851/648 is 508047.

LCM(69/151, 199/998, 851/648) = 508047

LCM of 69/151, 199/998, 851/648

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 69/151,199/998,851/648

Given numbers are 69/151,199/998,851/648

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 69,199,851

Least Common Multiple of Numerators i.e. LCM of 69,199,851 is 508047.

GCF of Denominators means GCF of 151,998,648 as per the given fractions.

GCF of 151,998,648 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,199,851

LCM of Fractions 69/151,199/998,851/648 is 508047

23 69, 199, 851
3, 199, 37

∴ So the LCM of the given numbers is 23 x 3 x 199 x 37 = 508047

Least Common Multiple of 69,199,851 with GCF Formula

Least Common Multiple of 69,199,851 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 69,199,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,199,851) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(69,199,851) x common factors =1 x 23 = 23

LCM(69,199,851) = ( 69 × 199 × 851 ) / 23

LCM(69,199,851) = 11685081 / 23

LCM(69,199,851) = 508047


Lets's calculate GCF of 151,998,648

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 508047/1

Therefore the LCM of Fractions 69/151,199/998,851/648 is 508047

Greatest Common Factor of 151,998,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 151,998,648 By Matching Biggest Common Factor Method

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 151,998,648 . The biggest common factor number is the GCF number.
So the greatest common factor 151,998,648 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 69/151, 199/998, 851/648

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 69/151, 199/998, 851/648?

Answer: LCM of Numerators as per given numbers 69/151, 199/998, 851/648 is

LCM of Numerators i.e. for 69,199,851 is 508047

GCF of denominators i.e. for 151,998,648 is 1.

Thus, LCM of Fractions is 508047.Finally, LCM of Fractions for 69/151, 199/998, 851/648 is 508047.