Least Common Multiple of 27/84, 946/21, 718/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/84, 946/21, 718/758 quickly i.e. 9169578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/84, 946/21, 718/758 is 9169578.

LCM(27/84, 946/21, 718/758) = 9169578

LCM of 27/84, 946/21, 718/758

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 27/84,946/21,718/758

Given numbers are 27/84,946/21,718/758

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 27,946,718

Least Common Multiple of Numerators i.e. LCM of 27,946,718 is 9169578.

GCF of Denominators means GCF of 84,21,758 as per the given fractions.

GCF of 84,21,758 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,946,718

LCM of Fractions 27/84,946/21,718/758 is 9169578

2 27, 946, 718
27, 473, 359

∴ So the LCM of the given numbers is 2 x 27 x 473 x 359 = 9169578

Least Common Multiple of 27,946,718 with GCF Formula

Least Common Multiple of 27,946,718 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 27,946,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,946,718) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(27,946,718) x common factors =1 x 2 = 2

LCM(27,946,718) = ( 27 × 946 × 718 ) / 2

LCM(27,946,718) = 18339156 / 2

LCM(27,946,718) = 9169578


Lets's calculate GCF of 84,21,758

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9169578/1

Therefore the LCM of Fractions 27/84,946/21,718/758 is 9169578

Greatest Common Factor of 84,21,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,21,758 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 84,21,758 . The biggest common factor number is the GCF number.
So the greatest common factor 84,21,758 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 27/84, 946/21, 718/758

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 27/84, 946/21, 718/758?

Answer: LCM of Numerators as per given numbers 27/84, 946/21, 718/758 is

LCM of Numerators i.e. for 27,946,718 is 9169578

GCF of denominators i.e. for 84,21,758 is 1.

Thus, LCM of Fractions is 9169578.Finally, LCM of Fractions for 27/84, 946/21, 718/758 is 9169578.