Least Common Multiple of 10/837, 12/852, 198/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 10/837, 12/852, 198/703 quickly i.e. 1980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/837, 12/852, 198/703 is 1980.

LCM(10/837, 12/852, 198/703) = 1980

LCM of 10/837, 12/852, 198/703

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 10/837,12/852,198/703

Given numbers are 10/837,12/852,198/703

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 10,12,198

Least Common Multiple of Numerators i.e. LCM of 10,12,198 is 1980.

GCF of Denominators means GCF of 837,852,703 as per the given fractions.

GCF of 837,852,703 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,12,198

LCM of Fractions 10/837,12/852,198/703 is 1980

2 10, 12, 198
3 5, 6, 99
5, 2, 33

∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 33 = 1980

Least Common Multiple of 10,12,198 with GCF Formula

Least Common Multiple of 10,12,198 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 10,12,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,12,198) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(10,12,198) x common factors =2 x 6 = 12

LCM(10,12,198) = ( 10 × 12 × 198 ) / 12

LCM(10,12,198) = 23760 / 12

LCM(10,12,198) = 1980


Lets's calculate GCF of 837,852,703

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1980/1

Therefore the LCM of Fractions 10/837,12/852,198/703 is 1980

Greatest Common Factor of 837,852,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 837,852,703 By Matching Biggest Common Factor Method

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 837,852,703 . The biggest common factor number is the GCF number.
So the greatest common factor 837,852,703 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 10/837, 12/852, 198/703

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 10/837, 12/852, 198/703?

Answer: LCM of Numerators as per given numbers 10/837, 12/852, 198/703 is

LCM of Numerators i.e. for 10,12,198 is 1980

GCF of denominators i.e. for 837,852,703 is 1.

Thus, LCM of Fractions is 1980.Finally, LCM of Fractions for 10/837, 12/852, 198/703 is 1980.