Least Common Multiple of 98/419, 841/872, 875/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 98/419, 841/872, 875/999 quickly i.e. 10302250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/419, 841/872, 875/999 is 10302250.

LCM(98/419, 841/872, 875/999) = 10302250

LCM of 98/419, 841/872, 875/999

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 98/419,841/872,875/999

Given numbers are 98/419,841/872,875/999

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 98,841,875

Least Common Multiple of Numerators i.e. LCM of 98,841,875 is 10302250.

GCF of Denominators means GCF of 419,872,999 as per the given fractions.

GCF of 419,872,999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,841,875

LCM of Fractions 98/419,841/872,875/999 is 10302250

7 98, 841, 875
14, 841, 125

∴ So the LCM of the given numbers is 7 x 14 x 841 x 125 = 10302250

Least Common Multiple of 98,841,875 with GCF Formula

Least Common Multiple of 98,841,875 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 98,841,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,841,875) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(98,841,875) x common factors =1 x 7 = 7

LCM(98,841,875) = ( 98 × 841 × 875 ) / 7

LCM(98,841,875) = 72115750 / 7

LCM(98,841,875) = 10302250


Lets's calculate GCF of 419,872,999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10302250/1

Therefore the LCM of Fractions 98/419,841/872,875/999 is 10302250

Greatest Common Factor of 419,872,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 419,872,999 By Matching Biggest Common Factor Method

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 419,872,999 . The biggest common factor number is the GCF number.
So the greatest common factor 419,872,999 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 98/419, 841/872, 875/999

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 98/419, 841/872, 875/999?

Answer: LCM of Numerators as per given numbers 98/419, 841/872, 875/999 is

LCM of Numerators i.e. for 98,841,875 is 10302250

GCF of denominators i.e. for 419,872,999 is 1.

Thus, LCM of Fractions is 10302250.Finally, LCM of Fractions for 98/419, 841/872, 875/999 is 10302250.