Least Common Multiple of 2761/924, 8770/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2761/924, 8770/998 quickly i.e. 12106985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2761/924, 8770/998 is 12106985.

LCM(2761/924, 8770/998) = 12106985

LCM of 2761/924, 8770/998

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 2761/924,8770/998

Given numbers are 2761/924,8770/998

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 2761,8770

Least Common Multiple of Numerators i.e. LCM of 2761,8770 is 24213970.

GCF of Denominators means GCF of 924,998 as per the given fractions.

GCF of 924,998 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2761,8770

LCM of Fractions 2761/924,8770/998 is 12106985

Given numbers has no common factors except 1. So, there LCM is their product i.e 24213970

Least Common Multiple of 2761,8770 with GCF Formula

Least Common Multiple of 2761,8770 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 2761,8770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2761,8770) = 1

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

GCF(2761,8770) x common factors =1 x 1 = 1

LCM(2761,8770) = ( 2761 × 8770 ) / 1

LCM(2761,8770) = 24213970 / 1

LCM(2761,8770) = 24213970


Lets's calculate GCF of 924,998

2 924, 998
462, 499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24213970/2

Therefore the LCM of Fractions 2761/924,8770/998 is 12106985

Greatest Common Factor of 924,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,998 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 924,998 . The biggest common factor number is the GCF number.
So the greatest common factor 924,998 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2761/924, 8770/998

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 2761/924, 8770/998?

Answer: LCM of Numerators as per given numbers 2761/924, 8770/998 is

LCM of Numerators i.e. for 2761,8770 is 24213970

GCF of denominators i.e. for 924,998 is 2.

Thus, LCM of Fractions is 12106985.Finally, LCM of Fractions for 2761/924, 8770/998 is 12106985.