Least Common Multiple of 756/780, 713/262, 520/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 756/780, 713/262, 520/980 quickly i.e. 35036820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 756/780, 713/262, 520/980 is 35036820.

LCM(756/780, 713/262, 520/980) = 35036820

LCM of 756/780, 713/262, 520/980

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 756/780,713/262,520/980

Given numbers are 756/780,713/262,520/980

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 756,713,520

Least Common Multiple of Numerators i.e. LCM of 756,713,520 is 70073640.

GCF of Denominators means GCF of 780,262,980 as per the given fractions.

GCF of 780,262,980 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 756,713,520

LCM of Fractions 756/780,713/262,520/980 is 35036820

2 756, 713, 520
2 378, 713, 260
189, 713, 130

∴ So the LCM of the given numbers is 2 x 2 x 189 x 713 x 130 = 70073640

Least Common Multiple of 756,713,520 with GCF Formula

Least Common Multiple of 756,713,520 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 756,713,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,713,520) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(756,713,520) x common factors =1 x 4 = 4

LCM(756,713,520) = ( 756 × 713 × 520 ) / 4

LCM(756,713,520) = 280294560 / 4

LCM(756,713,520) = 70073640


Lets's calculate GCF of 780,262,980

2 780, 262, 980
390, 131, 490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70073640/2

Therefore the LCM of Fractions 756/780,713/262,520/980 is 35036820

Greatest Common Factor of 780,262,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,262,980 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 780,262,980 . The biggest common factor number is the GCF number.
So the greatest common factor 780,262,980 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 756/780, 713/262, 520/980

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 756/780, 713/262, 520/980?

Answer: LCM of Numerators as per given numbers 756/780, 713/262, 520/980 is

LCM of Numerators i.e. for 756,713,520 is 70073640

GCF of denominators i.e. for 780,262,980 is 2.

Thus, LCM of Fractions is 35036820.Finally, LCM of Fractions for 756/780, 713/262, 520/980 is 35036820.