Least Common Multiple of 756/84, 895/49, 995/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 756/84, 895/49, 995/181 quickly i.e. 134647380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 756/84, 895/49, 995/181 is 134647380.

LCM(756/84, 895/49, 995/181) = 134647380

LCM of 756/84, 895/49, 995/181

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 756/84,895/49,995/181

Given numbers are 756/84,895/49,995/181

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 756,895,995

Least Common Multiple of Numerators i.e. LCM of 756,895,995 is 134647380.

GCF of Denominators means GCF of 84,49,181 as per the given fractions.

GCF of 84,49,181 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 756,895,995

LCM of Fractions 756/84,895/49,995/181 is 134647380

5 756, 895, 995
756, 179, 199

∴ So the LCM of the given numbers is 5 x 756 x 179 x 199 = 134647380

Least Common Multiple of 756,895,995 with GCF Formula

Least Common Multiple of 756,895,995 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 756,895,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,895,995) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(756,895,995) x common factors =1 x 5 = 5

LCM(756,895,995) = ( 756 × 895 × 995 ) / 5

LCM(756,895,995) = 673236900 / 5

LCM(756,895,995) = 134647380


Lets's calculate GCF of 84,49,181

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134647380/1

Therefore the LCM of Fractions 756/84,895/49,995/181 is 134647380

Greatest Common Factor of 84,49,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,49,181 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Greatest Common Factor

We found the factors 84,49,181 . The biggest common factor number is the GCF number.
So the greatest common factor 84,49,181 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 756/84, 895/49, 995/181

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 756/84, 895/49, 995/181?

Answer: LCM of Numerators as per given numbers 756/84, 895/49, 995/181 is

LCM of Numerators i.e. for 756,895,995 is 134647380

GCF of denominators i.e. for 84,49,181 is 1.

Thus, LCM of Fractions is 134647380.Finally, LCM of Fractions for 756/84, 895/49, 995/181 is 134647380.