Least Common Multiple of 97/912, 5114/4852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/912, 5114/4852 quickly i.e. 496058/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/912, 5114/4852 is 496058/4.

LCM(97/912, 5114/4852) = 496058/4

LCM of 97/912, 5114/4852

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 97/912,5114/4852

Given numbers are 97/912,5114/4852

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 97,5114

Least Common Multiple of Numerators i.e. LCM of 97,5114 is 496058.

GCF of Denominators means GCF of 912,4852 as per the given fractions.

GCF of 912,4852 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,5114

LCM of Fractions 97/912,5114/4852 is 496058/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 496058

Least Common Multiple of 97,5114 with GCF Formula

Least Common Multiple of 97,5114 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 97,5114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,5114) = 1

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

GCF(97,5114) x common factors =1 x 1 = 1

LCM(97,5114) = ( 97 × 5114 ) / 1

LCM(97,5114) = 496058 / 1

LCM(97,5114) = 496058


Lets's calculate GCF of 912,4852

2 912, 4852
2 456, 2426
228, 1213

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 496058/4

Therefore the LCM of Fractions 97/912,5114/4852 is 496058/4

Greatest Common Factor of 912,4852 By Matching Biggest Common Factor Method

Greatest Common Factor of 912,4852 By Matching Biggest Common Factor Method

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 4852

List of positive integer factors of 4852 that divides 4852 without a remainder.

1,2,4,1213,2426,4852

Greatest Common Factor

We found the factors 912,4852 . The biggest common factor number is the GCF number.
So the greatest common factor 912,4852 is 4.


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 97/912, 5114/4852

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 97/912, 5114/4852?

Answer: LCM of Numerators as per given numbers 97/912, 5114/4852 is

LCM of Numerators i.e. for 97,5114 is 496058

GCF of denominators i.e. for 912,4852 is 4.

Thus, LCM of Fractions is 496058/4.Finally, LCM of Fractions for 97/912, 5114/4852 is 496058/4.