Least Common Multiple of 1900/846, 9359/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1900/846, 9359/552 quickly i.e. 17782100/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1900/846, 9359/552 is 17782100/6.

LCM(1900/846, 9359/552) = 17782100/6

LCM of 1900/846, 9359/552

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 1900/846,9359/552

Given numbers are 1900/846,9359/552

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 1900,9359

Least Common Multiple of Numerators i.e. LCM of 1900,9359 is 17782100.

GCF of Denominators means GCF of 846,552 as per the given fractions.

GCF of 846,552 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1900,9359

LCM of Fractions 1900/846,9359/552 is 17782100/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 17782100

Least Common Multiple of 1900,9359 with GCF Formula

Least Common Multiple of 1900,9359 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 1900,9359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1900,9359) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1900,9359) x common factors =1 x 1 = 1

LCM(1900,9359) = ( 1900 × 9359 ) / 1

LCM(1900,9359) = 17782100 / 1

LCM(1900,9359) = 17782100


Lets's calculate GCF of 846,552

2 846, 552
3 423, 276
141, 92

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17782100/6

Therefore the LCM of Fractions 1900/846,9359/552 is 17782100/6

Greatest Common Factor of 846,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,552 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 846,552 . The biggest common factor number is the GCF number.
So the greatest common factor 846,552 is 6.


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 1900/846, 9359/552

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 1900/846, 9359/552?

Answer: LCM of Numerators as per given numbers 1900/846, 9359/552 is

LCM of Numerators i.e. for 1900,9359 is 17782100

GCF of denominators i.e. for 846,552 is 6.

Thus, LCM of Fractions is 17782100/6.Finally, LCM of Fractions for 1900/846, 9359/552 is 17782100/6.