Least Common Multiple of 560/88, 762/45, 560/87

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 560/88, 762/45, 560/87 quickly i.e. 213360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/88, 762/45, 560/87 is 213360.

LCM(560/88, 762/45, 560/87) = 213360

LCM of 560/88, 762/45, 560/87

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 560/88,762/45,560/87

Given numbers are 560/88,762/45,560/87

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 560,762,560

Least Common Multiple of Numerators i.e. LCM of 560,762,560 is 213360.

GCF of Denominators means GCF of 88,45,87 as per the given fractions.

GCF of 88,45,87 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,762,560

LCM of Fractions 560/88,762/45,560/87 is 213360

2 560, 762, 560
2 280, 381, 280
2 140, 381, 140
2 70, 381, 70
5 35, 381, 35
7 7, 381, 7
1, 381, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 7 x 1 x 381 x 1 = 213360

Least Common Multiple of 560,762,560 with GCF Formula

Least Common Multiple of 560,762,560 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 560,762,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,762,560) = 2

common factors(in case of two or more numbers have common factors) = 560

GCF(560,762,560) x common factors =2 x 560 = 1120

LCM(560,762,560) = ( 560 × 762 × 560 ) / 1120

LCM(560,762,560) = 238963200 / 1120

LCM(560,762,560) = 213360


Lets's calculate GCF of 88,45,87

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213360/1

Therefore the LCM of Fractions 560/88,762/45,560/87 is 213360

Greatest Common Factor of 88,45,87 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,45,87 By Matching Biggest Common Factor Method

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 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Greatest Common Factor

We found the factors 88,45,87 . The biggest common factor number is the GCF number.
So the greatest common factor 88,45,87 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 560/88, 762/45, 560/87

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 560/88, 762/45, 560/87?

Answer: LCM of Numerators as per given numbers 560/88, 762/45, 560/87 is

LCM of Numerators i.e. for 560,762,560 is 213360

GCF of denominators i.e. for 88,45,87 is 1.

Thus, LCM of Fractions is 213360.Finally, LCM of Fractions for 560/88, 762/45, 560/87 is 213360.