Least Common Multiple of 77/66, 59/92, 211/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 77/66, 59/92, 211/756 quickly i.e. 958573/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/66, 59/92, 211/756 is 958573/2.

LCM(77/66, 59/92, 211/756) = 958573/2

LCM of 77/66, 59/92, 211/756

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 77/66,59/92,211/756

Given numbers are 77/66,59/92,211/756

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 77,59,211

Least Common Multiple of Numerators i.e. LCM of 77,59,211 is 958573.

GCF of Denominators means GCF of 66,92,756 as per the given fractions.

GCF of 66,92,756 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,59,211

LCM of Fractions 77/66,59/92,211/756 is 958573/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 958573

Least Common Multiple of 77,59,211 with GCF Formula

Least Common Multiple of 77,59,211 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 77,59,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,59,211) = 1

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

GCF(77,59,211) x common factors =1 x 1 = 1

LCM(77,59,211) = ( 77 × 59 × 211 ) / 1

LCM(77,59,211) = 958573 / 1

LCM(77,59,211) = 958573


Lets's calculate GCF of 66,92,756

2 66, 92, 756
33, 46, 378

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 958573/2

Therefore the LCM of Fractions 77/66,59/92,211/756 is 958573/2

Greatest Common Factor of 66,92,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,92,756 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 66,92,756 . The biggest common factor number is the GCF number.
So the greatest common factor 66,92,756 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 77/66, 59/92, 211/756

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 77/66, 59/92, 211/756?

Answer: LCM of Numerators as per given numbers 77/66, 59/92, 211/756 is

LCM of Numerators i.e. for 77,59,211 is 958573

GCF of denominators i.e. for 66,92,756 is 2.

Thus, LCM of Fractions is 958573/2.Finally, LCM of Fractions for 77/66, 59/92, 211/756 is 958573/2.