Least Common Multiple of 498/716, 9550/6966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 498/716, 9550/6966 quickly i.e. 1188975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 498/716, 9550/6966 is 1188975.

LCM(498/716, 9550/6966) = 1188975

LCM of 498/716, 9550/6966

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 498/716,9550/6966

Given numbers are 498/716,9550/6966

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 498,9550

Least Common Multiple of Numerators i.e. LCM of 498,9550 is 2377950.

GCF of Denominators means GCF of 716,6966 as per the given fractions.

GCF of 716,6966 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 498,9550

LCM of Fractions 498/716,9550/6966 is 1188975

2 498, 9550
249, 4775

∴ So the LCM of the given numbers is 2 x 249 x 4775 = 2377950

Least Common Multiple of 498,9550 with GCF Formula

Least Common Multiple of 498,9550 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 498,9550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,9550) = 2

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

GCF(498,9550) x common factors =2 x 1 = 2

LCM(498,9550) = ( 498 × 9550 ) / 2

LCM(498,9550) = 4755900 / 2

LCM(498,9550) = 2377950


Lets's calculate GCF of 716,6966

2 716, 6966
358, 3483

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2377950/2

Therefore the LCM of Fractions 498/716,9550/6966 is 1188975

Greatest Common Factor of 716,6966 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,6966 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 6966

List of positive integer factors of 6966 that divides 6966 without a remainder.

1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966

Greatest Common Factor

We found the factors 716,6966 . The biggest common factor number is the GCF number.
So the greatest common factor 716,6966 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 498/716, 9550/6966

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 498/716, 9550/6966?

Answer: LCM of Numerators as per given numbers 498/716, 9550/6966 is

LCM of Numerators i.e. for 498,9550 is 2377950

GCF of denominators i.e. for 716,6966 is 2.

Thus, LCM of Fractions is 1188975.Finally, LCM of Fractions for 498/716, 9550/6966 is 1188975.