Least Common Multiple of 95/12, 84/46, 24/77, 89/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/12, 84/46, 24/77, 89/751 quickly i.e. 1420440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/12, 84/46, 24/77, 89/751 is 1420440.

LCM(95/12, 84/46, 24/77, 89/751) = 1420440

LCM of 95/12, 84/46, 24/77, 89/751

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 95/12,84/46,24/77,89/751

Given numbers are 95/12,84/46,24/77,89/751

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 95,84,24,89

Least Common Multiple of Numerators i.e. LCM of 95,84,24,89 is 1420440.

GCF of Denominators means GCF of 12,46,77,751 as per the given fractions.

GCF of 12,46,77,751 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,84,24,89

LCM of Fractions 95/12,84/46,24/77,89/751 is 1420440

2 95, 84, 24, 89
2 95, 42, 12, 89
3 95, 21, 6, 89
95, 7, 2, 89

∴ So the LCM of the given numbers is 2 x 2 x 3 x 95 x 7 x 2 x 89 = 1420440

Least Common Multiple of 95,84,24,89 with GCF Formula

Least Common Multiple of 95,84,24,89 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 95,84,24,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,84,24,89) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(95,84,24,89) x common factors =1 x 12 = 12

LCM(95,84,24,89) = ( 95 × 84 × 24 × 89 ) / 12

LCM(95,84,24,89) = 17045280 / 12

LCM(95,84,24,89) = 1420440


Lets's calculate GCF of 12,46,77,751

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1420440/1

Therefore the LCM of Fractions 95/12,84/46,24/77,89/751 is 1420440

Greatest Common Factor of 12,46,77,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,46,77,751 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Greatest Common Factor

We found the factors 12,46,77,751 . The biggest common factor number is the GCF number.
So the greatest common factor 12,46,77,751 is 1.


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 95/12, 84/46, 24/77, 89/751

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 95/12, 84/46, 24/77, 89/751?

Answer: LCM of Numerators as per given numbers 95/12, 84/46, 24/77, 89/751 is

LCM of Numerators i.e. for 95,84,24,89 is 1420440

GCF of denominators i.e. for 12,46,77,751 is 1.

Thus, LCM of Fractions is 1420440.Finally, LCM of Fractions for 95/12, 84/46, 24/77, 89/751 is 1420440.