Least Common Multiple of 854/646, 9800/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 854/646, 9800/486 quickly i.e. 298900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 854/646, 9800/486 is 298900.

LCM(854/646, 9800/486) = 298900

LCM of 854/646, 9800/486

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 854/646,9800/486

Given numbers are 854/646,9800/486

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 854,9800

Least Common Multiple of Numerators i.e. LCM of 854,9800 is 597800.

GCF of Denominators means GCF of 646,486 as per the given fractions.

GCF of 646,486 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 854,9800

LCM of Fractions 854/646,9800/486 is 298900

2 854, 9800
7 427, 4900
61, 700

∴ So the LCM of the given numbers is 2 x 7 x 61 x 700 = 597800

Least Common Multiple of 854,9800 with GCF Formula

Least Common Multiple of 854,9800 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 854,9800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,9800) = 14

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

GCF(854,9800) x common factors =14 x 1 = 14

LCM(854,9800) = ( 854 × 9800 ) / 14

LCM(854,9800) = 8369200 / 14

LCM(854,9800) = 597800


Lets's calculate GCF of 646,486

2 646, 486
323, 243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 597800/2

Therefore the LCM of Fractions 854/646,9800/486 is 298900

Greatest Common Factor of 646,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,486 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 646,486 . The biggest common factor number is the GCF number.
So the greatest common factor 646,486 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 854/646, 9800/486

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 854/646, 9800/486?

Answer: LCM of Numerators as per given numbers 854/646, 9800/486 is

LCM of Numerators i.e. for 854,9800 is 597800

GCF of denominators i.e. for 646,486 is 2.

Thus, LCM of Fractions is 298900.Finally, LCM of Fractions for 854/646, 9800/486 is 298900.