Least Common Multiple of 892/652, 7618/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 892/652, 7618/176 quickly i.e. 849407 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 892/652, 7618/176 is 849407.

LCM(892/652, 7618/176) = 849407

LCM of 892/652, 7618/176

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 892/652,7618/176

Given numbers are 892/652,7618/176

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 892,7618

Least Common Multiple of Numerators i.e. LCM of 892,7618 is 3397628.

GCF of Denominators means GCF of 652,176 as per the given fractions.

GCF of 652,176 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 892,7618

LCM of Fractions 892/652,7618/176 is 849407

2 892, 7618
446, 3809

∴ So the LCM of the given numbers is 2 x 446 x 3809 = 3397628

Least Common Multiple of 892,7618 with GCF Formula

Least Common Multiple of 892,7618 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 892,7618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,7618) = 2

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

GCF(892,7618) x common factors =2 x 1 = 2

LCM(892,7618) = ( 892 × 7618 ) / 2

LCM(892,7618) = 6795256 / 2

LCM(892,7618) = 3397628


Lets's calculate GCF of 652,176

2 652, 176
2 326, 88
163, 44

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3397628/4

Therefore the LCM of Fractions 892/652,7618/176 is 849407

Greatest Common Factor of 652,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 652,176 By Matching Biggest Common Factor Method

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 652,176 . The biggest common factor number is the GCF number.
So the greatest common factor 652,176 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 892/652, 7618/176

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 892/652, 7618/176?

Answer: LCM of Numerators as per given numbers 892/652, 7618/176 is

LCM of Numerators i.e. for 892,7618 is 3397628

GCF of denominators i.e. for 652,176 is 4.

Thus, LCM of Fractions is 849407.Finally, LCM of Fractions for 892/652, 7618/176 is 849407.