Least Common Multiple of 377/59, 690/88, 528/15

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 377/59, 690/88, 528/15 quickly i.e. 22891440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 377/59, 690/88, 528/15 is 22891440.

LCM(377/59, 690/88, 528/15) = 22891440

LCM of 377/59, 690/88, 528/15

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 377/59,690/88,528/15

Given numbers are 377/59,690/88,528/15

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 377,690,528

Least Common Multiple of Numerators i.e. LCM of 377,690,528 is 22891440.

GCF of Denominators means GCF of 59,88,15 as per the given fractions.

GCF of 59,88,15 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 377,690,528

LCM of Fractions 377/59,690/88,528/15 is 22891440

2 377, 690, 528
3 377, 345, 264
377, 115, 88

∴ So the LCM of the given numbers is 2 x 3 x 377 x 115 x 88 = 22891440

Least Common Multiple of 377,690,528 with GCF Formula

Least Common Multiple of 377,690,528 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 377,690,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,690,528) = 1

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

GCF(377,690,528) x common factors =1 x 6 = 6

LCM(377,690,528) = ( 377 × 690 × 528 ) / 6

LCM(377,690,528) = 137348640 / 6

LCM(377,690,528) = 22891440


Lets's calculate GCF of 59,88,15

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22891440/1

Therefore the LCM of Fractions 377/59,690/88,528/15 is 22891440

Greatest Common Factor of 59,88,15 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,88,15 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Greatest Common Factor

We found the factors 59,88,15 . The biggest common factor number is the GCF number.
So the greatest common factor 59,88,15 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 377/59, 690/88, 528/15

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 377/59, 690/88, 528/15?

Answer: LCM of Numerators as per given numbers 377/59, 690/88, 528/15 is

LCM of Numerators i.e. for 377,690,528 is 22891440

GCF of denominators i.e. for 59,88,15 is 1.

Thus, LCM of Fractions is 22891440.Finally, LCM of Fractions for 377/59, 690/88, 528/15 is 22891440.