Least Common Multiple of 785/764, 7976/1076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 785/764, 7976/1076 quickly i.e. 1565290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 785/764, 7976/1076 is 1565290.

LCM(785/764, 7976/1076) = 1565290

LCM of 785/764, 7976/1076

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 785/764,7976/1076

Given numbers are 785/764,7976/1076

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 785,7976

Least Common Multiple of Numerators i.e. LCM of 785,7976 is 6261160.

GCF of Denominators means GCF of 764,1076 as per the given fractions.

GCF of 764,1076 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 785,7976

LCM of Fractions 785/764,7976/1076 is 1565290

Given numbers has no common factors except 1. So, there LCM is their product i.e 6261160

Least Common Multiple of 785,7976 with GCF Formula

Least Common Multiple of 785,7976 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 785,7976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,7976) = 1

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

GCF(785,7976) x common factors =1 x 1 = 1

LCM(785,7976) = ( 785 × 7976 ) / 1

LCM(785,7976) = 6261160 / 1

LCM(785,7976) = 6261160


Lets's calculate GCF of 764,1076

2 764, 1076
2 382, 538
191, 269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6261160/4

Therefore the LCM of Fractions 785/764,7976/1076 is 1565290

Greatest Common Factor of 764,1076 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,1076 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 1076

List of positive integer factors of 1076 that divides 1076 without a remainder.

1,2,4,269,538,1076

Greatest Common Factor

We found the factors 764,1076 . The biggest common factor number is the GCF number.
So the greatest common factor 764,1076 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 785/764, 7976/1076

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 785/764, 7976/1076?

Answer: LCM of Numerators as per given numbers 785/764, 7976/1076 is

LCM of Numerators i.e. for 785,7976 is 6261160

GCF of denominators i.e. for 764,1076 is 4.

Thus, LCM of Fractions is 1565290.Finally, LCM of Fractions for 785/764, 7976/1076 is 1565290.