Least Common Multiple of 88/78, 74/46, 30/70, 69/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/78, 74/46, 30/70, 69/364 quickly i.e. 561660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/78, 74/46, 30/70, 69/364 is 561660.

LCM(88/78, 74/46, 30/70, 69/364) = 561660

LCM of 88/78, 74/46, 30/70, 69/364

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 88/78,74/46,30/70,69/364

Given numbers are 88/78,74/46,30/70,69/364

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 88,74,30,69

Least Common Multiple of Numerators i.e. LCM of 88,74,30,69 is 1123320.

GCF of Denominators means GCF of 78,46,70,364 as per the given fractions.

GCF of 78,46,70,364 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,74,30,69

LCM of Fractions 88/78,74/46,30/70,69/364 is 561660

2 88, 74, 30, 69
3 44, 37, 15, 69
44, 37, 5, 23

∴ So the LCM of the given numbers is 2 x 3 x 44 x 37 x 5 x 23 = 1123320

Least Common Multiple of 88,74,30,69 with GCF Formula

Least Common Multiple of 88,74,30,69 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 88,74,30,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,74,30,69) = 1

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

GCF(88,74,30,69) x common factors =1 x 12 = 12

LCM(88,74,30,69) = ( 88 × 74 × 30 × 69 ) / 12

LCM(88,74,30,69) = 13479840 / 12

LCM(88,74,30,69) = 1123320


Lets's calculate GCF of 78,46,70,364

2 78, 46, 70, 364
39, 23, 35, 182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1123320/2

Therefore the LCM of Fractions 88/78,74/46,30/70,69/364 is 561660

Greatest Common Factor of 78,46,70,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,46,70,364 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 46

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

1,2,23,46

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 78,46,70,364 . The biggest common factor number is the GCF number.
So the greatest common factor 78,46,70,364 is 2.


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 88/78, 74/46, 30/70, 69/364

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 88/78, 74/46, 30/70, 69/364?

Answer: LCM of Numerators as per given numbers 88/78, 74/46, 30/70, 69/364 is

LCM of Numerators i.e. for 88,74,30,69 is 1123320

GCF of denominators i.e. for 78,46,70,364 is 2.

Thus, LCM of Fractions is 561660.Finally, LCM of Fractions for 88/78, 74/46, 30/70, 69/364 is 561660.