Least Common Multiple of 632/645, 740/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 632/645, 740/258 quickly i.e. 116920/129 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 632/645, 740/258 is 116920/129.

LCM(632/645, 740/258) = 116920/129

LCM of 632/645, 740/258

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 632/645,740/258

Given numbers are 632/645,740/258

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 632,740

Least Common Multiple of Numerators i.e. LCM of 632,740 is 116920.

GCF of Denominators means GCF of 645,258 as per the given fractions.

GCF of 645,258 is 129 as it is the largest common factor for these numbers.

Lets's calculate LCM of 632,740

LCM of Fractions 632/645,740/258 is 116920/129

2 632, 740
2 316, 370
158, 185

∴ So the LCM of the given numbers is 2 x 2 x 158 x 185 = 116920

Least Common Multiple of 632,740 with GCF Formula

Least Common Multiple of 632,740 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 632,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,740) = 4

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

GCF(632,740) x common factors =4 x 1 = 4

LCM(632,740) = ( 632 × 740 ) / 4

LCM(632,740) = 467680 / 4

LCM(632,740) = 116920


Lets's calculate GCF of 645,258

3 645, 258
43 215, 86
5, 2

∴ So the GCF of the given numbers is 3 x 43 = 129

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116920/129

Therefore the LCM of Fractions 632/645,740/258 is 116920/129

Greatest Common Factor of 645,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,258 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 645,258 . The biggest common factor number is the GCF number.
So the greatest common factor 645,258 is 129.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 632/645, 740/258

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 632/645, 740/258?

Answer: LCM of Numerators as per given numbers 632/645, 740/258 is

LCM of Numerators i.e. for 632,740 is 116920

GCF of denominators i.e. for 645,258 is 129.

Thus, LCM of Fractions is 116920/129.Finally, LCM of Fractions for 632/645, 740/258 is 116920/129.