Least Common Multiple of 715/632, 493/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 715/632, 493/158 quickly i.e. 352495/158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 715/632, 493/158 is 352495/158.

LCM(715/632, 493/158) = 352495/158

LCM of 715/632, 493/158

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 715/632,493/158

Given numbers are 715/632,493/158

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 715,493

Least Common Multiple of Numerators i.e. LCM of 715,493 is 352495.

GCF of Denominators means GCF of 632,158 as per the given fractions.

GCF of 632,158 is 158 as it is the largest common factor for these numbers.

Lets's calculate LCM of 715,493

LCM of Fractions 715/632,493/158 is 352495/158

Given numbers has no common factors except 1. So, there LCM is their product i.e 352495

Least Common Multiple of 715,493 with GCF Formula

Least Common Multiple of 715,493 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 715,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,493) = 1

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

GCF(715,493) x common factors =1 x 1 = 1

LCM(715,493) = ( 715 × 493 ) / 1

LCM(715,493) = 352495 / 1

LCM(715,493) = 352495


Lets's calculate GCF of 632,158

2 632, 158
79 316, 79
4, 1

∴ So the GCF of the given numbers is 2 x 79 = 158

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 352495/158

Therefore the LCM of Fractions 715/632,493/158 is 352495/158

Greatest Common Factor of 632,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,158 By Matching Biggest Common Factor Method

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 632,158 . The biggest common factor number is the GCF number.
So the greatest common factor 632,158 is 158.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 715/632, 493/158

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 715/632, 493/158?

Answer: LCM of Numerators as per given numbers 715/632, 493/158 is

LCM of Numerators i.e. for 715,493 is 352495

GCF of denominators i.e. for 632,158 is 158.

Thus, LCM of Fractions is 352495/158.Finally, LCM of Fractions for 715/632, 493/158 is 352495/158.