Least Common Multiple of 778/786, 753/300, 778/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 778/786, 753/300, 778/840 quickly i.e. 97639 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 778/786, 753/300, 778/840 is 97639.

LCM(778/786, 753/300, 778/840) = 97639

LCM of 778/786, 753/300, 778/840

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 778/786,753/300,778/840

Given numbers are 778/786,753/300,778/840

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 778,753,778

Least Common Multiple of Numerators i.e. LCM of 778,753,778 is 585834.

GCF of Denominators means GCF of 786,300,840 as per the given fractions.

GCF of 786,300,840 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 778,753,778

LCM of Fractions 778/786,753/300,778/840 is 97639

2 778, 753, 778
389 389, 753, 389
1, 753, 1

∴ So the LCM of the given numbers is 2 x 389 x 1 x 753 x 1 = 585834

Least Common Multiple of 778,753,778 with GCF Formula

Least Common Multiple of 778,753,778 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 778,753,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,753,778) = 1

common factors(in case of two or more numbers have common factors) = 778

GCF(778,753,778) x common factors =1 x 778 = 778

LCM(778,753,778) = ( 778 × 753 × 778 ) / 778

LCM(778,753,778) = 455778852 / 778

LCM(778,753,778) = 585834


Lets's calculate GCF of 786,300,840

2 786, 300, 840
3 393, 150, 420
131, 50, 140

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 585834/6

Therefore the LCM of Fractions 778/786,753/300,778/840 is 97639

Greatest Common Factor of 786,300,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,300,840 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 786,300,840 . The biggest common factor number is the GCF number.
So the greatest common factor 786,300,840 is 6.


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 778/786, 753/300, 778/840

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 778/786, 753/300, 778/840?

Answer: LCM of Numerators as per given numbers 778/786, 753/300, 778/840 is

LCM of Numerators i.e. for 778,753,778 is 585834

GCF of denominators i.e. for 786,300,840 is 6.

Thus, LCM of Fractions is 97639.Finally, LCM of Fractions for 778/786, 753/300, 778/840 is 97639.