Least Common Multiple of 15/991, 62/562, 748/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/991, 62/562, 748/294 quickly i.e. 347820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/991, 62/562, 748/294 is 347820.

LCM(15/991, 62/562, 748/294) = 347820

LCM of 15/991, 62/562, 748/294

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 15/991,62/562,748/294

Given numbers are 15/991,62/562,748/294

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 15,62,748

Least Common Multiple of Numerators i.e. LCM of 15,62,748 is 347820.

GCF of Denominators means GCF of 991,562,294 as per the given fractions.

GCF of 991,562,294 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,62,748

LCM of Fractions 15/991,62/562,748/294 is 347820

2 15, 62, 748
15, 31, 374

∴ So the LCM of the given numbers is 2 x 15 x 31 x 374 = 347820

Least Common Multiple of 15,62,748 with GCF Formula

Least Common Multiple of 15,62,748 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 15,62,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,62,748) = 1

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

GCF(15,62,748) x common factors =1 x 2 = 2

LCM(15,62,748) = ( 15 × 62 × 748 ) / 2

LCM(15,62,748) = 695640 / 2

LCM(15,62,748) = 347820


Lets's calculate GCF of 991,562,294

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 347820/1

Therefore the LCM of Fractions 15/991,62/562,748/294 is 347820

Greatest Common Factor of 991,562,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,562,294 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 991,562,294 . The biggest common factor number is the GCF number.
So the greatest common factor 991,562,294 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 15/991, 62/562, 748/294

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 15/991, 62/562, 748/294?

Answer: LCM of Numerators as per given numbers 15/991, 62/562, 748/294 is

LCM of Numerators i.e. for 15,62,748 is 347820

GCF of denominators i.e. for 991,562,294 is 1.

Thus, LCM of Fractions is 347820.Finally, LCM of Fractions for 15/991, 62/562, 748/294 is 347820.