Least Common Multiple of 69/78, 56/98, 48/67, 56/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/78, 56/98, 48/67, 56/354 quickly i.e. 7728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/78, 56/98, 48/67, 56/354 is 7728.

LCM(69/78, 56/98, 48/67, 56/354) = 7728

LCM of 69/78, 56/98, 48/67, 56/354

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 69/78,56/98,48/67,56/354

Given numbers are 69/78,56/98,48/67,56/354

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 69,56,48,56

Least Common Multiple of Numerators i.e. LCM of 69,56,48,56 is 7728.

GCF of Denominators means GCF of 78,98,67,354 as per the given fractions.

GCF of 78,98,67,354 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,56,48,56

LCM of Fractions 69/78,56/98,48/67,56/354 is 7728

2 69, 56, 48, 56
2 69, 28, 24, 28
2 69, 14, 12, 14
3 69, 7, 6, 7
7 23, 7, 2, 7
23, 1, 2, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 23 x 1 x 2 x 1 = 7728

Least Common Multiple of 69,56,48,56 with GCF Formula

Least Common Multiple of 69,56,48,56 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 69,56,48,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,56,48,56) = 1

common factors(in case of two or more numbers have common factors) = 1344

GCF(69,56,48,56) x common factors =1 x 1344 = 1344

LCM(69,56,48,56) = ( 69 × 56 × 48 × 56 ) / 1344

LCM(69,56,48,56) = 10386432 / 1344

LCM(69,56,48,56) = 7728


Lets's calculate GCF of 78,98,67,354

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7728/1

Therefore the LCM of Fractions 69/78,56/98,48/67,56/354 is 7728

Greatest Common Factor of 78,98,67,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,98,67,354 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 78,98,67,354 . The biggest common factor number is the GCF number.
So the greatest common factor 78,98,67,354 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 69/78, 56/98, 48/67, 56/354

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 69/78, 56/98, 48/67, 56/354?

Answer: LCM of Numerators as per given numbers 69/78, 56/98, 48/67, 56/354 is

LCM of Numerators i.e. for 69,56,48,56 is 7728

GCF of denominators i.e. for 78,98,67,354 is 1.

Thus, LCM of Fractions is 7728.Finally, LCM of Fractions for 69/78, 56/98, 48/67, 56/354 is 7728.