Least Common Multiple of 370/170, 632/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 370/170, 632/755 quickly i.e. 23384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 370/170, 632/755 is 23384.

LCM(370/170, 632/755) = 23384

LCM of 370/170, 632/755

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 370/170,632/755

Given numbers are 370/170,632/755

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 370,632

Least Common Multiple of Numerators i.e. LCM of 370,632 is 116920.

GCF of Denominators means GCF of 170,755 as per the given fractions.

GCF of 170,755 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 370,632

LCM of Fractions 370/170,632/755 is 23384

2 370, 632
185, 316

∴ So the LCM of the given numbers is 2 x 185 x 316 = 116920

Least Common Multiple of 370,632 with GCF Formula

Least Common Multiple of 370,632 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 370,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,632) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(370,632) x common factors =2 x 1 = 2

LCM(370,632) = ( 370 × 632 ) / 2

LCM(370,632) = 233840 / 2

LCM(370,632) = 116920


Lets's calculate GCF of 170,755

5 170, 755
34, 151

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116920/5

Therefore the LCM of Fractions 370/170,632/755 is 23384

Greatest Common Factor of 170,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,755 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 170,755 . The biggest common factor number is the GCF number.
So the greatest common factor 170,755 is 5.


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 370/170, 632/755

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 370/170, 632/755?

Answer: LCM of Numerators as per given numbers 370/170, 632/755 is

LCM of Numerators i.e. for 370,632 is 116920

GCF of denominators i.e. for 170,755 is 5.

Thus, LCM of Fractions is 23384.Finally, LCM of Fractions for 370/170, 632/755 is 23384.