Least Common Multiple of 7855/736, 2875/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7855/736, 2875/364 quickly i.e. 4516625/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7855/736, 2875/364 is 4516625/4.

LCM(7855/736, 2875/364) = 4516625/4

LCM of 7855/736, 2875/364

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 7855/736,2875/364

Given numbers are 7855/736,2875/364

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 7855,2875

Least Common Multiple of Numerators i.e. LCM of 7855,2875 is 4516625.

GCF of Denominators means GCF of 736,364 as per the given fractions.

GCF of 736,364 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7855,2875

LCM of Fractions 7855/736,2875/364 is 4516625/4

5 7855, 2875
1571, 575

∴ So the LCM of the given numbers is 5 x 1571 x 575 = 4516625

Least Common Multiple of 7855,2875 with GCF Formula

Least Common Multiple of 7855,2875 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 7855,2875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7855,2875) = 5

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

GCF(7855,2875) x common factors =5 x 1 = 5

LCM(7855,2875) = ( 7855 × 2875 ) / 5

LCM(7855,2875) = 22583125 / 5

LCM(7855,2875) = 4516625


Lets's calculate GCF of 736,364

2 736, 364
2 368, 182
184, 91

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4516625/4

Therefore the LCM of Fractions 7855/736,2875/364 is 4516625/4

Greatest Common Factor of 736,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,364 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 736,364 . The biggest common factor number is the GCF number.
So the greatest common factor 736,364 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7855/736, 2875/364

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 7855/736, 2875/364?

Answer: LCM of Numerators as per given numbers 7855/736, 2875/364 is

LCM of Numerators i.e. for 7855,2875 is 4516625

GCF of denominators i.e. for 736,364 is 4.

Thus, LCM of Fractions is 4516625/4.Finally, LCM of Fractions for 7855/736, 2875/364 is 4516625/4.