Least Common Multiple of 115/70, 654/48, 345/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 115/70, 654/48, 345/658 quickly i.e. 37605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 115/70, 654/48, 345/658 is 37605.

LCM(115/70, 654/48, 345/658) = 37605

LCM of 115/70, 654/48, 345/658

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 115/70,654/48,345/658

Given numbers are 115/70,654/48,345/658

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 115,654,345

Least Common Multiple of Numerators i.e. LCM of 115,654,345 is 75210.

GCF of Denominators means GCF of 70,48,658 as per the given fractions.

GCF of 70,48,658 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 115,654,345

LCM of Fractions 115/70,654/48,345/658 is 37605

3 115, 654, 345
5 115, 218, 115
23 23, 218, 23
1, 218, 1

∴ So the LCM of the given numbers is 3 x 5 x 23 x 1 x 218 x 1 = 75210

Least Common Multiple of 115,654,345 with GCF Formula

Least Common Multiple of 115,654,345 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 115,654,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,654,345) = 1

common factors(in case of two or more numbers have common factors) = 345

GCF(115,654,345) x common factors =1 x 345 = 345

LCM(115,654,345) = ( 115 × 654 × 345 ) / 345

LCM(115,654,345) = 25947450 / 345

LCM(115,654,345) = 75210


Lets's calculate GCF of 70,48,658

2 70, 48, 658
35, 24, 329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75210/2

Therefore the LCM of Fractions 115/70,654/48,345/658 is 37605

Greatest Common Factor of 70,48,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,48,658 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 70,48,658 . The biggest common factor number is the GCF number.
So the greatest common factor 70,48,658 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 115/70, 654/48, 345/658

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 115/70, 654/48, 345/658?

Answer: LCM of Numerators as per given numbers 115/70, 654/48, 345/658 is

LCM of Numerators i.e. for 115,654,345 is 75210

GCF of denominators i.e. for 70,48,658 is 2.

Thus, LCM of Fractions is 37605.Finally, LCM of Fractions for 115/70, 654/48, 345/658 is 37605.