Least Common Multiple of 918/51, 780/4568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 918/51, 780/4568 quickly i.e. 119340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 918/51, 780/4568 is 119340.

LCM(918/51, 780/4568) = 119340

LCM of 918/51, 780/4568

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 918/51,780/4568

Given numbers are 918/51,780/4568

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 918,780

Least Common Multiple of Numerators i.e. LCM of 918,780 is 119340.

GCF of Denominators means GCF of 51,4568 as per the given fractions.

GCF of 51,4568 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 918,780

LCM of Fractions 918/51,780/4568 is 119340

2 918, 780
3 459, 390
153, 130

∴ So the LCM of the given numbers is 2 x 3 x 153 x 130 = 119340

Least Common Multiple of 918,780 with GCF Formula

Least Common Multiple of 918,780 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 918,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,780) = 6

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

GCF(918,780) x common factors =6 x 1 = 6

LCM(918,780) = ( 918 × 780 ) / 6

LCM(918,780) = 716040 / 6

LCM(918,780) = 119340


Lets's calculate GCF of 51,4568

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119340/1

Therefore the LCM of Fractions 918/51,780/4568 is 119340

Greatest Common Factor of 51,4568 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,4568 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 4568

List of positive integer factors of 4568 that divides 4568 without a remainder.

1,2,4,8,571,1142,2284,4568

Greatest Common Factor

We found the factors 51,4568 . The biggest common factor number is the GCF number.
So the greatest common factor 51,4568 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 918/51, 780/4568

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 918/51, 780/4568?

Answer: LCM of Numerators as per given numbers 918/51, 780/4568 is

LCM of Numerators i.e. for 918,780 is 119340

GCF of denominators i.e. for 51,4568 is 1.

Thus, LCM of Fractions is 119340.Finally, LCM of Fractions for 918/51, 780/4568 is 119340.