Least Common Multiple of 49/76, 863/52, 921/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/76, 863/52, 921/148 quickly i.e. 38946327/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/76, 863/52, 921/148 is 38946327/4.

LCM(49/76, 863/52, 921/148) = 38946327/4

LCM of 49/76, 863/52, 921/148

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 49/76,863/52,921/148

Given numbers are 49/76,863/52,921/148

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 49,863,921

Least Common Multiple of Numerators i.e. LCM of 49,863,921 is 38946327.

GCF of Denominators means GCF of 76,52,148 as per the given fractions.

GCF of 76,52,148 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,863,921

LCM of Fractions 49/76,863/52,921/148 is 38946327/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 38946327

Least Common Multiple of 49,863,921 with GCF Formula

Least Common Multiple of 49,863,921 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 49,863,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,863,921) = 1

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

GCF(49,863,921) x common factors =1 x 1 = 1

LCM(49,863,921) = ( 49 × 863 × 921 ) / 1

LCM(49,863,921) = 38946327 / 1

LCM(49,863,921) = 38946327


Lets's calculate GCF of 76,52,148

2 76, 52, 148
2 38, 26, 74
19, 13, 37

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38946327/4

Therefore the LCM of Fractions 49/76,863/52,921/148 is 38946327/4

Greatest Common Factor of 76,52,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,52,148 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 76,52,148 . The biggest common factor number is the GCF number.
So the greatest common factor 76,52,148 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 49/76, 863/52, 921/148

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 49/76, 863/52, 921/148?

Answer: LCM of Numerators as per given numbers 49/76, 863/52, 921/148 is

LCM of Numerators i.e. for 49,863,921 is 38946327

GCF of denominators i.e. for 76,52,148 is 4.

Thus, LCM of Fractions is 38946327/4.Finally, LCM of Fractions for 49/76, 863/52, 921/148 is 38946327/4.