Least Common Multiple of 100/316, 848/907, 648/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 100/316, 848/907, 648/546 quickly i.e. 1717200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 100/316, 848/907, 648/546 is 1717200.

LCM(100/316, 848/907, 648/546) = 1717200

LCM of 100/316, 848/907, 648/546

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 100/316,848/907,648/546

Given numbers are 100/316,848/907,648/546

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 100,848,648

Least Common Multiple of Numerators i.e. LCM of 100,848,648 is 1717200.

GCF of Denominators means GCF of 316,907,546 as per the given fractions.

GCF of 316,907,546 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 100,848,648

LCM of Fractions 100/316,848/907,648/546 is 1717200

2 100, 848, 648
2 50, 424, 324
2 25, 212, 162
25, 106, 81

∴ So the LCM of the given numbers is 2 x 2 x 2 x 25 x 106 x 81 = 1717200

Least Common Multiple of 100,848,648 with GCF Formula

Least Common Multiple of 100,848,648 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 100,848,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,848,648) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(100,848,648) x common factors =4 x 8 = 32

LCM(100,848,648) = ( 100 × 848 × 648 ) / 32

LCM(100,848,648) = 54950400 / 32

LCM(100,848,648) = 1717200


Lets's calculate GCF of 316,907,546

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1717200/1

Therefore the LCM of Fractions 100/316,848/907,648/546 is 1717200

Greatest Common Factor of 316,907,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,907,546 By Matching Biggest Common Factor Method

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 316,907,546 . The biggest common factor number is the GCF number.
So the greatest common factor 316,907,546 is 1.


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 100/316, 848/907, 648/546

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 100/316, 848/907, 648/546?

Answer: LCM of Numerators as per given numbers 100/316, 848/907, 648/546 is

LCM of Numerators i.e. for 100,848,648 is 1717200

GCF of denominators i.e. for 316,907,546 is 1.

Thus, LCM of Fractions is 1717200.Finally, LCM of Fractions for 100/316, 848/907, 648/546 is 1717200.