Least Common Multiple of 583/88, 707/35, 637/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 583/88, 707/35, 637/470 quickly i.e. 37508471 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 583/88, 707/35, 637/470 is 37508471.

LCM(583/88, 707/35, 637/470) = 37508471

LCM of 583/88, 707/35, 637/470

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 583/88,707/35,637/470

Given numbers are 583/88,707/35,637/470

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 583,707,637

Least Common Multiple of Numerators i.e. LCM of 583,707,637 is 37508471.

GCF of Denominators means GCF of 88,35,470 as per the given fractions.

GCF of 88,35,470 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 583,707,637

LCM of Fractions 583/88,707/35,637/470 is 37508471

7 583, 707, 637
583, 101, 91

∴ So the LCM of the given numbers is 7 x 583 x 101 x 91 = 37508471

Least Common Multiple of 583,707,637 with GCF Formula

Least Common Multiple of 583,707,637 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 583,707,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,707,637) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(583,707,637) x common factors =1 x 7 = 7

LCM(583,707,637) = ( 583 × 707 × 637 ) / 7

LCM(583,707,637) = 262559297 / 7

LCM(583,707,637) = 37508471


Lets's calculate GCF of 88,35,470

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37508471/1

Therefore the LCM of Fractions 583/88,707/35,637/470 is 37508471

Greatest Common Factor of 88,35,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,35,470 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 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 88,35,470 . The biggest common factor number is the GCF number.
So the greatest common factor 88,35,470 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 583/88, 707/35, 637/470

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 583/88, 707/35, 637/470?

Answer: LCM of Numerators as per given numbers 583/88, 707/35, 637/470 is

LCM of Numerators i.e. for 583,707,637 is 37508471

GCF of denominators i.e. for 88,35,470 is 1.

Thus, LCM of Fractions is 37508471.Finally, LCM of Fractions for 583/88, 707/35, 637/470 is 37508471.