Least Common Multiple of 15/756, 77/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 15/756, 77/602 quickly i.e. 1155/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/756, 77/602 is 1155/14.

LCM(15/756, 77/602) = 1155/14

LCM of 15/756, 77/602

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 15/756,77/602

Given numbers are 15/756,77/602

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 15,77

Least Common Multiple of Numerators i.e. LCM of 15,77 is 1155.

GCF of Denominators means GCF of 756,602 as per the given fractions.

GCF of 756,602 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,77

LCM of Fractions 15/756,77/602 is 1155/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 1155

Least Common Multiple of 15,77 with GCF Formula

Least Common Multiple of 15,77 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 15,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,77) = 1

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

GCF(15,77) x common factors =1 x 1 = 1

LCM(15,77) = ( 15 × 77 ) / 1

LCM(15,77) = 1155 / 1

LCM(15,77) = 1155


Lets's calculate GCF of 756,602

2 756, 602
7 378, 301
54, 43

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1155/14

Therefore the LCM of Fractions 15/756,77/602 is 1155/14

Greatest Common Factor of 756,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,602 By Matching Biggest Common Factor Method

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

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 756,602 . The biggest common factor number is the GCF number.
So the greatest common factor 756,602 is 14.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 15/756, 77/602

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 15/756, 77/602?

Answer: LCM of Numerators as per given numbers 15/756, 77/602 is

LCM of Numerators i.e. for 15,77 is 1155

GCF of denominators i.e. for 756,602 is 14.

Thus, LCM of Fractions is 1155/14.Finally, LCM of Fractions for 15/756, 77/602 is 1155/14.