Least Common Multiple of 9896/846, 1946/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9896/846, 1946/764 quickly i.e. 4814404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9896/846, 1946/764 is 4814404.

LCM(9896/846, 1946/764) = 4814404

LCM of 9896/846, 1946/764

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 9896/846,1946/764

Given numbers are 9896/846,1946/764

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 9896,1946

Least Common Multiple of Numerators i.e. LCM of 9896,1946 is 9628808.

GCF of Denominators means GCF of 846,764 as per the given fractions.

GCF of 846,764 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9896,1946

LCM of Fractions 9896/846,1946/764 is 4814404

2 9896, 1946
4948, 973

∴ So the LCM of the given numbers is 2 x 4948 x 973 = 9628808

Least Common Multiple of 9896,1946 with GCF Formula

Least Common Multiple of 9896,1946 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 9896,1946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9896,1946) = 2

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

GCF(9896,1946) x common factors =2 x 1 = 2

LCM(9896,1946) = ( 9896 × 1946 ) / 2

LCM(9896,1946) = 19257616 / 2

LCM(9896,1946) = 9628808


Lets's calculate GCF of 846,764

2 846, 764
423, 382

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9628808/2

Therefore the LCM of Fractions 9896/846,1946/764 is 4814404

Greatest Common Factor of 846,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,764 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 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 846,764 . The biggest common factor number is the GCF number.
So the greatest common factor 846,764 is 2.


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 9896/846, 1946/764

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 9896/846, 1946/764?

Answer: LCM of Numerators as per given numbers 9896/846, 1946/764 is

LCM of Numerators i.e. for 9896,1946 is 9628808

GCF of denominators i.e. for 846,764 is 2.

Thus, LCM of Fractions is 4814404.Finally, LCM of Fractions for 9896/846, 1946/764 is 4814404.