Least Common Multiple of 658/64, 747/35, 870/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 658/64, 747/35, 870/715 quickly i.e. 71271270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 658/64, 747/35, 870/715 is 71271270.

LCM(658/64, 747/35, 870/715) = 71271270

LCM of 658/64, 747/35, 870/715

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 658/64,747/35,870/715

Given numbers are 658/64,747/35,870/715

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 658,747,870

Least Common Multiple of Numerators i.e. LCM of 658,747,870 is 71271270.

GCF of Denominators means GCF of 64,35,715 as per the given fractions.

GCF of 64,35,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 658,747,870

LCM of Fractions 658/64,747/35,870/715 is 71271270

2 658, 747, 870
3 329, 747, 435
329, 249, 145

∴ So the LCM of the given numbers is 2 x 3 x 329 x 249 x 145 = 71271270

Least Common Multiple of 658,747,870 with GCF Formula

Least Common Multiple of 658,747,870 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 658,747,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,747,870) = 1

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

GCF(658,747,870) x common factors =1 x 6 = 6

LCM(658,747,870) = ( 658 × 747 × 870 ) / 6

LCM(658,747,870) = 427627620 / 6

LCM(658,747,870) = 71271270


Lets's calculate GCF of 64,35,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71271270/1

Therefore the LCM of Fractions 658/64,747/35,870/715 is 71271270

Greatest Common Factor of 64,35,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,35,715 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 35

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

1,5,7,35

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 64,35,715 . The biggest common factor number is the GCF number.
So the greatest common factor 64,35,715 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 658/64, 747/35, 870/715

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 658/64, 747/35, 870/715?

Answer: LCM of Numerators as per given numbers 658/64, 747/35, 870/715 is

LCM of Numerators i.e. for 658,747,870 is 71271270

GCF of denominators i.e. for 64,35,715 is 1.

Thus, LCM of Fractions is 71271270.Finally, LCM of Fractions for 658/64, 747/35, 870/715 is 71271270.