Least Common Multiple of 30/77, 69/31, 88/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/77, 69/31, 88/921 quickly i.e. 30360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/77, 69/31, 88/921 is 30360.

LCM(30/77, 69/31, 88/921) = 30360

LCM of 30/77, 69/31, 88/921

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 30/77,69/31,88/921

Given numbers are 30/77,69/31,88/921

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 30,69,88

Least Common Multiple of Numerators i.e. LCM of 30,69,88 is 30360.

GCF of Denominators means GCF of 77,31,921 as per the given fractions.

GCF of 77,31,921 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,69,88

LCM of Fractions 30/77,69/31,88/921 is 30360

2 30, 69, 88
3 15, 69, 44
5, 23, 44

∴ So the LCM of the given numbers is 2 x 3 x 5 x 23 x 44 = 30360

Least Common Multiple of 30,69,88 with GCF Formula

Least Common Multiple of 30,69,88 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 30,69,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,69,88) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(30,69,88) x common factors =1 x 6 = 6

LCM(30,69,88) = ( 30 × 69 × 88 ) / 6

LCM(30,69,88) = 182160 / 6

LCM(30,69,88) = 30360


Lets's calculate GCF of 77,31,921

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30360/1

Therefore the LCM of Fractions 30/77,69/31,88/921 is 30360

Greatest Common Factor of 77,31,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,31,921 By Matching Biggest Common Factor Method

Factors of 77

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

1,7,11,77

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 77,31,921 . The biggest common factor number is the GCF number.
So the greatest common factor 77,31,921 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 30/77, 69/31, 88/921

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 30/77, 69/31, 88/921?

Answer: LCM of Numerators as per given numbers 30/77, 69/31, 88/921 is

LCM of Numerators i.e. for 30,69,88 is 30360

GCF of denominators i.e. for 77,31,921 is 1.

Thus, LCM of Fractions is 30360.Finally, LCM of Fractions for 30/77, 69/31, 88/921 is 30360.