Least Common Multiple of 15/756, 692/310, 646/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/756, 692/310, 646/388 quickly i.e. 1676370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/756, 692/310, 646/388 is 1676370.

LCM(15/756, 692/310, 646/388) = 1676370

LCM of 15/756, 692/310, 646/388

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 15/756,692/310,646/388

Given numbers are 15/756,692/310,646/388

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 15,692,646

Least Common Multiple of Numerators i.e. LCM of 15,692,646 is 3352740.

GCF of Denominators means GCF of 756,310,388 as per the given fractions.

GCF of 756,310,388 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,692,646

LCM of Fractions 15/756,692/310,646/388 is 1676370

2 15, 692, 646
15, 346, 323

∴ So the LCM of the given numbers is 2 x 15 x 346 x 323 = 3352740

Least Common Multiple of 15,692,646 with GCF Formula

Least Common Multiple of 15,692,646 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 15,692,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,692,646) = 1

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

GCF(15,692,646) x common factors =1 x 2 = 2

LCM(15,692,646) = ( 15 × 692 × 646 ) / 2

LCM(15,692,646) = 6705480 / 2

LCM(15,692,646) = 3352740


Lets's calculate GCF of 756,310,388

2 756, 310, 388
378, 155, 194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3352740/2

Therefore the LCM of Fractions 15/756,692/310,646/388 is 1676370

Greatest Common Factor of 756,310,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,310,388 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 756,310,388 . The biggest common factor number is the GCF number.
So the greatest common factor 756,310,388 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 15/756, 692/310, 646/388

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 15/756, 692/310, 646/388?

Answer: LCM of Numerators as per given numbers 15/756, 692/310, 646/388 is

LCM of Numerators i.e. for 15,692,646 is 3352740

GCF of denominators i.e. for 756,310,388 is 2.

Thus, LCM of Fractions is 1676370.Finally, LCM of Fractions for 15/756, 692/310, 646/388 is 1676370.